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Finding the Third Proportional to 5,658,471 and 8,974,683

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Solution

The third proportional to 5,658,471 and 8,974,683 is: 14,234,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,471 : 8,974,683 = 8,974,683 : x
  2. Step 2: Convert to fraction form
    5,658,471/8,974,683 = 8,974,683/x
  3. Step 3: Cross multiply
    5,658,471x = 8,974,683 × 8,974,683
  4. Step 4: Simplify right side
    5,658,471x = 80,544,934,950,489
  5. Step 5: Solve for x
    x = 80,544,934,950,489/5,658,471
  6. Step 6: Final answer
    x = 14,234,399.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.