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Finding the Third Proportional to 1,143,712,832 and 2,497,168,688

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Solution

The third proportional to 1,143,712,832 and 2,497,168,688 is: 5,452,287,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,712,832 : 2,497,168,688 = 2,497,168,688 : x
  2. Step 2: Convert to fraction form
    1,143,712,832/2,497,168,688 = 2,497,168,688/x
  3. Step 3: Cross multiply
    1,143,712,832x = 2,497,168,688 × 2,497,168,688
  4. Step 4: Simplify right side
    1,143,712,832x = 6,235,851,456,327,641,088
  5. Step 5: Solve for x
    x = 6,235,851,456,327,641,088/1,143,712,832
  6. Step 6: Final answer
    x = 5,452,287,743.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.