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Finding the Third Proportional to 4,002,113,574 and 8,693,168,400

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Solution

The third proportional to 4,002,113,574 and 8,693,168,400 is: 18,882,816,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002,113,574 : 8,693,168,400 = 8,693,168,400 : x
  2. Step 2: Convert to fraction form
    4,002,113,574/8,693,168,400 = 8,693,168,400/x
  3. Step 3: Cross multiply
    4,002,113,574x = 8,693,168,400 × 8,693,168,400
  4. Step 4: Simplify right side
    4,002,113,574x = 75,571,176,830,758,567,936
  5. Step 5: Solve for x
    x = 75,571,176,830,758,567,936/4,002,113,574
  6. Step 6: Final answer
    x = 18,882,816,650.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.