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Finding the Third Proportional to 625,175,760 and 919,032,056

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Solution

The third proportional to 625,175,760 and 919,032,056 is: 1,351,011,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,175,760 : 919,032,056 = 919,032,056 : x
  2. Step 2: Convert to fraction form
    625,175,760/919,032,056 = 919,032,056/x
  3. Step 3: Cross multiply
    625,175,760x = 919,032,056 × 919,032,056
  4. Step 4: Simplify right side
    625,175,760x = 844,619,919,955,587,072
  5. Step 5: Solve for x
    x = 844,619,919,955,587,072/625,175,760
  6. Step 6: Final answer
    x = 1,351,011,945.75

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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.