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Finding the Third Proportional to 832,618,607,321 and 1,123,398,000,544

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Solution

The third proportional to 832,618,607,321 and 1,123,398,000,544 is: 1,515,727,677,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,618,607,321 : 1,123,398,000,544 = 1,123,398,000,544 : x
  2. Step 2: Convert to fraction form
    832,618,607,321/1,123,398,000,544 = 1,123,398,000,544/x
  3. Step 3: Cross multiply
    832,618,607,321x = 1,123,398,000,544 × 1,123,398,000,544
  4. Step 4: Simplify right side
    832,618,607,321x = 1,262,023,067,626,256,921,001,984
  5. Step 5: Solve for x
    x = 1,262,023,067,626,256,921,001,984/832,618,607,321
  6. Step 6: Final answer
    x = 1,515,727,677,149.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.