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Finding the Third Proportional to 31,250,502 and 68,551,947

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Solution

The third proportional to 31,250,502 and 68,551,947 is: 150,377,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250,502 : 68,551,947 = 68,551,947 : x
  2. Step 2: Convert to fraction form
    31,250,502/68,551,947 = 68,551,947/x
  3. Step 3: Cross multiply
    31,250,502x = 68,551,947 × 68,551,947
  4. Step 4: Simplify right side
    31,250,502x = 4,699,369,437,490,809
  5. Step 5: Solve for x
    x = 4,699,369,437,490,809/31,250,502
  6. Step 6: Final answer
    x = 150,377,406.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.