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Finding the Third Proportional to 521,764,032 and 1,137,283,304

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Solution

The third proportional to 521,764,032 and 1,137,283,304 is: 2,478,923,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,764,032 : 1,137,283,304 = 1,137,283,304 : x
  2. Step 2: Convert to fraction form
    521,764,032/1,137,283,304 = 1,137,283,304/x
  3. Step 3: Cross multiply
    521,764,032x = 1,137,283,304 × 1,137,283,304
  4. Step 4: Simplify right side
    521,764,032x = 1,293,413,313,557,156,352
  5. Step 5: Solve for x
    x = 1,293,413,313,557,156,352/521,764,032
  6. Step 6: Final answer
    x = 2,478,923,870.24

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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.