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Finding the Third Proportional to 305,723,766,726 and 455,934,448,639

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Solution

The third proportional to 305,723,766,726 and 455,934,448,639 is: 679,947,861,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,726 : 455,934,448,639 = 455,934,448,639 : x
  2. Step 2: Convert to fraction form
    305,723,766,726/455,934,448,639 = 455,934,448,639/x
  3. Step 3: Cross multiply
    305,723,766,726x = 455,934,448,639 × 455,934,448,639
  4. Step 4: Simplify right side
    305,723,766,726x = 207,876,221,455,748,929,945,600
  5. Step 5: Solve for x
    x = 207,876,221,455,748,929,945,600/305,723,766,726
  6. Step 6: Final answer
    x = 679,947,861,698.48

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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.