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Finding the Third Proportional to 47,852,576 and 71,761,294

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Solution

The third proportional to 47,852,576 and 71,761,294 is: 107,615,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,852,576 : 71,761,294 = 71,761,294 : x
  2. Step 2: Convert to fraction form
    47,852,576/71,761,294 = 71,761,294/x
  3. Step 3: Cross multiply
    47,852,576x = 71,761,294 × 71,761,294
  4. Step 4: Simplify right side
    47,852,576x = 5,149,683,316,554,436
  5. Step 5: Solve for x
    x = 5,149,683,316,554,436/47,852,576
  6. Step 6: Final answer
    x = 107,615,592.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.