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Finding the Third Proportional to 1,414,672,016,843.60 and 3,077,209,210,134.20

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Solution

The third proportional to 1,414,672,016,843.60 and 3,077,209,210,134.20 is: 6,693,577,316,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,672,016,843.60 : 3,077,209,210,134.20 = 3,077,209,210,134.20 : x
  2. Step 2: Convert to fraction form
    1,414,672,016,843.60/3,077,209,210,134.20 = 3,077,209,210,134.20/x
  3. Step 3: Cross multiply
    1,414,672,016,843.60x = 3,077,209,210,134.20 × 3,077,209,210,134.20
  4. Step 4: Simplify right side
    1,414,672,016,843.60x = 9,469,216,522,934,748,138,438,656
  5. Step 5: Solve for x
    x = 9,469,216,522,934,748,138,438,656/1,414,672,016,843.60
  6. Step 6: Final answer
    x = 6,693,577,316,997.02

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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.