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Finding the Third Proportional to 31,195,454.50 and 67,323,346

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Solution

The third proportional to 31,195,454.50 and 67,323,346 is: 145,291,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,454.50 : 67,323,346 = 67,323,346 : x
  2. Step 2: Convert to fraction form
    31,195,454.50/67,323,346 = 67,323,346/x
  3. Step 3: Cross multiply
    31,195,454.50x = 67,323,346 × 67,323,346
  4. Step 4: Simplify right side
    31,195,454.50x = 4,532,432,916,635,716
  5. Step 5: Solve for x
    x = 4,532,432,916,635,716/31,195,454.50
  6. Step 6: Final answer
    x = 145,291,453.17

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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.