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Finding the Third Proportional to 729,832,207.50 and 1,511,403,367.50

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Solution

The third proportional to 729,832,207.50 and 1,511,403,367.50 is: 3,129,952,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,832,207.50 : 1,511,403,367.50 = 1,511,403,367.50 : x
  2. Step 2: Convert to fraction form
    729,832,207.50/1,511,403,367.50 = 1,511,403,367.50/x
  3. Step 3: Cross multiply
    729,832,207.50x = 1,511,403,367.50 × 1,511,403,367.50
  4. Step 4: Simplify right side
    729,832,207.50x = 2,284,340,139,290,340,096
  5. Step 5: Solve for x
    x = 2,284,340,139,290,340,096/729,832,207.50
  6. Step 6: Final answer
    x = 3,129,952,495.68

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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.