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Finding the Third Proportional to 13,678,152 and 29,726,880

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Solution

The third proportional to 13,678,152 and 29,726,880 is: 64,605,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678,152 : 29,726,880 = 29,726,880 : x
  2. Step 2: Convert to fraction form
    13,678,152/29,726,880 = 29,726,880/x
  3. Step 3: Cross multiply
    13,678,152x = 29,726,880 × 29,726,880
  4. Step 4: Simplify right side
    13,678,152x = 883,687,394,534,400
  5. Step 5: Solve for x
    x = 883,687,394,534,400/13,678,152
  6. Step 6: Final answer
    x = 64,605,759.21

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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.