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Finding the Third Proportional to 625,175,764 and 919,032,062

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Solution

The third proportional to 625,175,764 and 919,032,062 is: 1,351,011,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,175,764 : 919,032,062 = 919,032,062 : x
  2. Step 2: Convert to fraction form
    625,175,764/919,032,062 = 919,032,062/x
  3. Step 3: Cross multiply
    625,175,764x = 919,032,062 × 919,032,062
  4. Step 4: Simplify right side
    625,175,764x = 844,619,930,983,971,840
  5. Step 5: Solve for x
    x = 844,619,930,983,971,840/625,175,764
  6. Step 6: Final answer
    x = 1,351,011,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.