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Finding the Third Proportional to 521,764,033 and 1,137,283,306

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Solution

The third proportional to 521,764,033 and 1,137,283,306 is: 2,478,923,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,764,033 : 1,137,283,306 = 1,137,283,306 : x
  2. Step 2: Convert to fraction form
    521,764,033/1,137,283,306 = 1,137,283,306/x
  3. Step 3: Cross multiply
    521,764,033x = 1,137,283,306 × 1,137,283,306
  4. Step 4: Simplify right side
    521,764,033x = 1,293,413,318,106,289,664
  5. Step 5: Solve for x
    x = 1,293,413,318,106,289,664/521,764,033
  6. Step 6: Final answer
    x = 2,478,923,874.21

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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.