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Finding the Third Proportional to 491,771,644 and 747,727,200

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Solution

The third proportional to 491,771,644 and 747,727,200 is: 1,136,901,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,771,644 : 747,727,200 = 747,727,200 : x
  2. Step 2: Convert to fraction form
    491,771,644/747,727,200 = 747,727,200/x
  3. Step 3: Cross multiply
    491,771,644x = 747,727,200 × 747,727,200
  4. Step 4: Simplify right side
    491,771,644x = 559,095,965,619,840,000
  5. Step 5: Solve for x
    x = 559,095,965,619,840,000/491,771,644
  6. Step 6: Final answer
    x = 1,136,901,593.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.