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Finding the Third Proportional to 347,909,766 and 486,657,711

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Solution

The third proportional to 347,909,766 and 486,657,711 is: 680,738,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,909,766 : 486,657,711 = 486,657,711 : x
  2. Step 2: Convert to fraction form
    347,909,766/486,657,711 = 486,657,711/x
  3. Step 3: Cross multiply
    347,909,766x = 486,657,711 × 486,657,711
  4. Step 4: Simplify right side
    347,909,766x = 236,835,727,675,759,520
  5. Step 5: Solve for x
    x = 236,835,727,675,759,520/347,909,766
  6. Step 6: Final answer
    x = 680,738,946.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.