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Finding the Third Proportional to 581,916,149 and 1,270,493,989

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Solution

The third proportional to 581,916,149 and 1,270,493,989 is: 2,773,861,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,916,149 : 1,270,493,989 = 1,270,493,989 : x
  2. Step 2: Convert to fraction form
    581,916,149/1,270,493,989 = 1,270,493,989/x
  3. Step 3: Cross multiply
    581,916,149x = 1,270,493,989 × 1,270,493,989
  4. Step 4: Simplify right side
    581,916,149x = 1,614,154,976,085,132,032
  5. Step 5: Solve for x
    x = 1,614,154,976,085,132,032/581,916,149
  6. Step 6: Final answer
    x = 2,773,861,799.26

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Why These Related Problems?

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