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Finding the Third Proportional to 305,723,766,724 and 455,934,448,640

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Solution

The third proportional to 305,723,766,724 and 455,934,448,640 is: 679,947,861,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,724 : 455,934,448,640 = 455,934,448,640 : x
  2. Step 2: Convert to fraction form
    305,723,766,724/455,934,448,640 = 455,934,448,640/x
  3. Step 3: Cross multiply
    305,723,766,724x = 455,934,448,640 × 455,934,448,640
  4. Step 4: Simplify right side
    305,723,766,724x = 207,876,221,456,660,805,189,632
  5. Step 5: Solve for x
    x = 207,876,221,456,660,805,189,632/305,723,766,724
  6. Step 6: Final answer
    x = 679,947,861,705.91

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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.