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Finding the Third Proportional to 58,532,976 and 126,056,160

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Solution

The third proportional to 58,532,976 and 126,056,160 is: 271,473,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,532,976 : 126,056,160 = 126,056,160 : x
  2. Step 2: Convert to fraction form
    58,532,976/126,056,160 = 126,056,160/x
  3. Step 3: Cross multiply
    58,532,976x = 126,056,160 × 126,056,160
  4. Step 4: Simplify right side
    58,532,976x = 15,890,155,473,945,600
  5. Step 5: Solve for x
    x = 15,890,155,473,945,600/58,532,976
  6. Step 6: Final answer
    x = 271,473,561.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.