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Finding the Third Proportional to 31,239,475 and 67,852,226

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Solution

The third proportional to 31,239,475 and 67,852,226 is: 147,375,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,475 : 67,852,226 = 67,852,226 : x
  2. Step 2: Convert to fraction form
    31,239,475/67,852,226 = 67,852,226/x
  3. Step 3: Cross multiply
    31,239,475x = 67,852,226 × 67,852,226
  4. Step 4: Simplify right side
    31,239,475x = 4,603,924,573,155,076
  5. Step 5: Solve for x
    x = 4,603,924,573,155,076/31,239,475
  6. Step 6: Final answer
    x = 147,375,222.32

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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.