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Finding the Third Proportional to 576,469,897,069.52 and 1,200,653,854,938

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Solution

The third proportional to 576,469,897,069.52 and 1,200,653,854,938 is: 2,500,685,095,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,469,897,069.52 : 1,200,653,854,938 = 1,200,653,854,938 : x
  2. Step 2: Convert to fraction form
    576,469,897,069.52/1,200,653,854,938 = 1,200,653,854,938/x
  3. Step 3: Cross multiply
    576,469,897,069.52x = 1,200,653,854,938 × 1,200,653,854,938
  4. Step 4: Simplify right side
    576,469,897,069.52x = 1,441,569,679,377,479,938,080,768
  5. Step 5: Solve for x
    x = 1,441,569,679,377,479,938,080,768/576,469,897,069.52
  6. Step 6: Final answer
    x = 2,500,685,095,103.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.