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Finding the Third Proportional to 305,723,766,712 and 455,934,448,623

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Solution

The third proportional to 305,723,766,712 and 455,934,448,623 is: 679,947,861,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,712 : 455,934,448,623 = 455,934,448,623 : x
  2. Step 2: Convert to fraction form
    305,723,766,712/455,934,448,623 = 455,934,448,623/x
  3. Step 3: Cross multiply
    305,723,766,712x = 455,934,448,623 × 455,934,448,623
  4. Step 4: Simplify right side
    305,723,766,712x = 207,876,221,441,159,026,704,384
  5. Step 5: Solve for x
    x = 207,876,221,441,159,026,704,384/305,723,766,712
  6. Step 6: Final answer
    x = 679,947,861,681.90

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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.