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Finding the Third Proportional to 1,744,279,641 and 2,681,078,116

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Solution

The third proportional to 1,744,279,641 and 2,681,078,116 is: 4,121,001,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,279,641 : 2,681,078,116 = 2,681,078,116 : x
  2. Step 2: Convert to fraction form
    1,744,279,641/2,681,078,116 = 2,681,078,116/x
  3. Step 3: Cross multiply
    1,744,279,641x = 2,681,078,116 × 2,681,078,116
  4. Step 4: Simplify right side
    1,744,279,641x = 7,188,179,864,094,109,696
  5. Step 5: Solve for x
    x = 7,188,179,864,094,109,696/1,744,279,641
  6. Step 6: Final answer
    x = 4,121,001,985.65

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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.