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Finding the Third Proportional to 31,250,510 and 68,551,964

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Solution

The third proportional to 31,250,510 and 68,551,964 is: 150,377,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250,510 : 68,551,964 = 68,551,964 : x
  2. Step 2: Convert to fraction form
    31,250,510/68,551,964 = 68,551,964/x
  3. Step 3: Cross multiply
    31,250,510x = 68,551,964 × 68,551,964
  4. Step 4: Simplify right side
    31,250,510x = 4,699,371,768,257,296
  5. Step 5: Solve for x
    x = 4,699,371,768,257,296/31,250,510
  6. Step 6: Final answer
    x = 150,377,442.42

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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.