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Finding the Third Proportional to 43,842,120 and 61,293,864

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Solution

The third proportional to 43,842,120 and 61,293,864 is: 85,692,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842,120 : 61,293,864 = 61,293,864 : x
  2. Step 2: Convert to fraction form
    43,842,120/61,293,864 = 61,293,864/x
  3. Step 3: Cross multiply
    43,842,120x = 61,293,864 × 61,293,864
  4. Step 4: Simplify right side
    43,842,120x = 3,756,937,764,050,496
  5. Step 5: Solve for x
    x = 3,756,937,764,050,496/43,842,120
  6. Step 6: Final answer
    x = 85,692,429.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.