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Finding the Third Proportional to 3,475,713 and 7,569,294

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Solution

The third proportional to 3,475,713 and 7,569,294 is: 16,484,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,713 : 7,569,294 = 7,569,294 : x
  2. Step 2: Convert to fraction form
    3,475,713/7,569,294 = 7,569,294/x
  3. Step 3: Cross multiply
    3,475,713x = 7,569,294 × 7,569,294
  4. Step 4: Simplify right side
    3,475,713x = 57,294,211,658,436
  5. Step 5: Solve for x
    x = 57,294,211,658,436/3,475,713
  6. Step 6: Final answer
    x = 16,484,160.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.