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Finding the Third Proportional to 461,984,036,418 and 679,137,027,700.50

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Solution

The third proportional to 461,984,036,418 and 679,137,027,700.50 is: 998,361,558,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,984,036,418 : 679,137,027,700.50 = 679,137,027,700.50 : x
  2. Step 2: Convert to fraction form
    461,984,036,418/679,137,027,700.50 = 679,137,027,700.50/x
  3. Step 3: Cross multiply
    461,984,036,418x = 679,137,027,700.50 × 679,137,027,700.50
  4. Step 4: Simplify right side
    461,984,036,418x = 461,227,102,393,869,726,121,984
  5. Step 5: Solve for x
    x = 461,227,102,393,869,726,121,984/461,984,036,418
  6. Step 6: Final answer
    x = 998,361,558,052.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.