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Finding the Third Proportional to 1,744,279,639 and 2,681,078,113

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Solution

The third proportional to 1,744,279,639 and 2,681,078,113 is: 4,121,001,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,279,639 : 2,681,078,113 = 2,681,078,113 : x
  2. Step 2: Convert to fraction form
    1,744,279,639/2,681,078,113 = 2,681,078,113/x
  3. Step 3: Cross multiply
    1,744,279,639x = 2,681,078,113 × 2,681,078,113
  4. Step 4: Simplify right side
    1,744,279,639x = 7,188,179,848,007,641,088
  5. Step 5: Solve for x
    x = 7,188,179,848,007,641,088/1,744,279,639
  6. Step 6: Final answer
    x = 4,121,001,981.16

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Why These Related Problems?

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