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Finding the Third Proportional to 305,723,766,719 and 455,934,448,632

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Solution

The third proportional to 305,723,766,719 and 455,934,448,632 is: 679,947,861,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,719 : 455,934,448,632 = 455,934,448,632 : x
  2. Step 2: Convert to fraction form
    305,723,766,719/455,934,448,632 = 455,934,448,632/x
  3. Step 3: Cross multiply
    305,723,766,719x = 455,934,448,632 × 455,934,448,632
  4. Step 4: Simplify right side
    305,723,766,719x = 207,876,221,449,365,836,791,808
  5. Step 5: Solve for x
    x = 207,876,221,449,365,836,791,808/305,723,766,719
  6. Step 6: Final answer
    x = 679,947,861,693.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.