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Finding the Third Proportional to 31,195,467 and 67,323,370

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Solution

The third proportional to 31,195,467 and 67,323,370 is: 145,291,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,467 : 67,323,370 = 67,323,370 : x
  2. Step 2: Convert to fraction form
    31,195,467/67,323,370 = 67,323,370/x
  3. Step 3: Cross multiply
    31,195,467x = 67,323,370 × 67,323,370
  4. Step 4: Simplify right side
    31,195,467x = 4,532,436,148,156,900
  5. Step 5: Solve for x
    x = 4,532,436,148,156,900/31,195,467
  6. Step 6: Final answer
    x = 145,291,498.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.