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Finding the Third Proportional to 4,110,811,213,162.80 and 8,818,373,842,687.80

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Solution

The third proportional to 4,110,811,213,162.80 and 8,818,373,842,687.80 is: 18,916,878,736,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110,811,213,162.80 : 8,818,373,842,687.80 = 8,818,373,842,687.80 : x
  2. Step 2: Convert to fraction form
    4,110,811,213,162.80/8,818,373,842,687.80 = 8,818,373,842,687.80/x
  3. Step 3: Cross multiply
    4,110,811,213,162.80x = 8,818,373,842,687.80 × 8,818,373,842,687.80
  4. Step 4: Simplify right side
    4,110,811,213,162.80x = 77,763,717,229,400,406,169,223,168
  5. Step 5: Solve for x
    x = 77,763,717,229,400,406,169,223,168/4,110,811,213,162.80
  6. Step 6: Final answer
    x = 18,916,878,736,829.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.