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Finding the Third Proportional to 16,002,657 and 34,564,016.25

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Solution

The third proportional to 16,002,657 and 34,564,016.25 is: 74,654,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002,657 : 34,564,016.25 = 34,564,016.25 : x
  2. Step 2: Convert to fraction form
    16,002,657/34,564,016.25 = 34,564,016.25/x
  3. Step 3: Cross multiply
    16,002,657x = 34,564,016.25 × 34,564,016.25
  4. Step 4: Simplify right side
    16,002,657x = 1,194,671,219,330,264
  5. Step 5: Solve for x
    x = 1,194,671,219,330,264/16,002,657
  6. Step 6: Final answer
    x = 74,654,553.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.