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Finding the Third Proportional to 548,343,704 and 1,186,971,952

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Solution

The third proportional to 548,343,704 and 1,186,971,952 is: 2,569,378,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,343,704 : 1,186,971,952 = 1,186,971,952 : x
  2. Step 2: Convert to fraction form
    548,343,704/1,186,971,952 = 1,186,971,952/x
  3. Step 3: Cross multiply
    548,343,704x = 1,186,971,952 × 1,186,971,952
  4. Step 4: Simplify right side
    548,343,704x = 1,408,902,414,834,690,304
  5. Step 5: Solve for x
    x = 1,408,902,414,834,690,304/548,343,704
  6. Step 6: Final answer
    x = 2,569,378,301.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.