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Finding the Third Proportional to 729,832,210 and 1,511,403,372

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Solution

The third proportional to 729,832,210 and 1,511,403,372 is: 3,129,952,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,832,210 : 1,511,403,372 = 1,511,403,372 : x
  2. Step 2: Convert to fraction form
    729,832,210/1,511,403,372 = 1,511,403,372/x
  3. Step 3: Cross multiply
    729,832,210x = 1,511,403,372 × 1,511,403,372
  4. Step 4: Simplify right side
    729,832,210x = 2,284,340,152,892,970,496
  5. Step 5: Solve for x
    x = 2,284,340,152,892,970,496/729,832,210
  6. Step 6: Final answer
    x = 3,129,952,503.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.