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Finding the Third Proportional to 491,134,034,245 and 1,068,750,687,588

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Solution

The third proportional to 491,134,034,245 and 1,068,750,687,588 is: 2,325,695,131,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134,034,245 : 1,068,750,687,588 = 1,068,750,687,588 : x
  2. Step 2: Convert to fraction form
    491,134,034,245/1,068,750,687,588 = 1,068,750,687,588/x
  3. Step 3: Cross multiply
    491,134,034,245x = 1,068,750,687,588 × 1,068,750,687,588
  4. Step 4: Simplify right side
    491,134,034,245x = 1,142,228,032,219,822,807,842,816
  5. Step 5: Solve for x
    x = 1,142,228,032,219,822,807,842,816/491,134,034,245
  6. Step 6: Final answer
    x = 2,325,695,131,219.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.