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Finding the Third Proportional to 7,729,569 and 16,791,021

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Solution

The third proportional to 7,729,569 and 16,791,021 is: 36,475,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729,569 : 16,791,021 = 16,791,021 : x
  2. Step 2: Convert to fraction form
    7,729,569/16,791,021 = 16,791,021/x
  3. Step 3: Cross multiply
    7,729,569x = 16,791,021 × 16,791,021
  4. Step 4: Simplify right side
    7,729,569x = 281,938,386,222,441
  5. Step 5: Solve for x
    x = 281,938,386,222,441/7,729,569
  6. Step 6: Final answer
    x = 36,475,304.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.