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Finding the Third Proportional to 729,654,202 and 1,605,237,811

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Solution

The third proportional to 729,654,202 and 1,605,237,811 is: 3,531,520,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,654,202 : 1,605,237,811 = 1,605,237,811 : x
  2. Step 2: Convert to fraction form
    729,654,202/1,605,237,811 = 1,605,237,811/x
  3. Step 3: Cross multiply
    729,654,202x = 1,605,237,811 × 1,605,237,811
  4. Step 4: Simplify right side
    729,654,202x = 2,576,788,429,864,071,680
  5. Step 5: Solve for x
    x = 2,576,788,429,864,071,680/729,654,202
  6. Step 6: Final answer
    x = 3,531,520,030.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.