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Finding the Third Proportional to 1,160,586,342 and 2,549,172,933

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Solution

The third proportional to 1,160,586,342 and 2,549,172,933 is: 5,599,137,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,586,342 : 2,549,172,933 = 2,549,172,933 : x
  2. Step 2: Convert to fraction form
    1,160,586,342/2,549,172,933 = 2,549,172,933/x
  3. Step 3: Cross multiply
    1,160,586,342x = 2,549,172,933 × 2,549,172,933
  4. Step 4: Simplify right side
    1,160,586,342x = 6,498,282,642,339,822,592
  5. Step 5: Solve for x
    x = 6,498,282,642,339,822,592/1,160,586,342
  6. Step 6: Final answer
    x = 5,599,137,614.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.