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Finding the Third Proportional to 33,996,345 and 72,843,472

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Solution

The third proportional to 33,996,345 and 72,843,472 is: 156,080,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,345 : 72,843,472 = 72,843,472 : x
  2. Step 2: Convert to fraction form
    33,996,345/72,843,472 = 72,843,472/x
  3. Step 3: Cross multiply
    33,996,345x = 72,843,472 × 72,843,472
  4. Step 4: Simplify right side
    33,996,345x = 5,306,171,413,014,784
  5. Step 5: Solve for x
    x = 5,306,171,413,014,784/33,996,345
  6. Step 6: Final answer
    x = 156,080,643.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.