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Finding the Third Proportional to 1,033,651,813.50 and 1,588,795,590.38

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Solution

The third proportional to 1,033,651,813.50 and 1,588,795,590.38 is: 2,442,090,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,651,813.50 : 1,588,795,590.38 = 1,588,795,590.38 : x
  2. Step 2: Convert to fraction form
    1,033,651,813.50/1,588,795,590.38 = 1,588,795,590.38/x
  3. Step 3: Cross multiply
    1,033,651,813.50x = 1,588,795,590.38 × 1,588,795,590.38
  4. Step 4: Simplify right side
    1,033,651,813.50x = 2,524,271,427,995,044,864
  5. Step 5: Solve for x
    x = 2,524,271,427,995,044,864/1,033,651,813.50
  6. Step 6: Final answer
    x = 2,442,090,648.93

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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.