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Finding the Third Proportional to 39,827,334 and 61,509,744

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Solution

The third proportional to 39,827,334 and 61,509,744 is: 94,996,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,827,334 : 61,509,744 = 61,509,744 : x
  2. Step 2: Convert to fraction form
    39,827,334/61,509,744 = 61,509,744/x
  3. Step 3: Cross multiply
    39,827,334x = 61,509,744 × 61,509,744
  4. Step 4: Simplify right side
    39,827,334x = 3,783,448,606,945,536
  5. Step 5: Solve for x
    x = 3,783,448,606,945,536/39,827,334
  6. Step 6: Final answer
    x = 94,996,280.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.