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Finding the Third Proportional to 1,033,641,211.50 and 1,588,780,921.50

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Solution

The third proportional to 1,033,641,211.50 and 1,588,780,921.50 is: 2,442,070,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,641,211.50 : 1,588,780,921.50 = 1,588,780,921.50 : x
  2. Step 2: Convert to fraction form
    1,033,641,211.50/1,588,780,921.50 = 1,588,780,921.50/x
  3. Step 3: Cross multiply
    1,033,641,211.50x = 1,588,780,921.50 × 1,588,780,921.50
  4. Step 4: Simplify right side
    1,033,641,211.50x = 2,524,224,816,522,388,992
  5. Step 5: Solve for x
    x = 2,524,224,816,522,388,992/1,033,641,211.50
  6. Step 6: Final answer
    x = 2,442,070,602.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.