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Finding the Third Proportional to 927,419,005 and 2,000,116,577

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Solution

The third proportional to 927,419,005 and 2,000,116,577 is: 4,313,547,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,419,005 : 2,000,116,577 = 2,000,116,577 : x
  2. Step 2: Convert to fraction form
    927,419,005/2,000,116,577 = 2,000,116,577/x
  3. Step 3: Cross multiply
    927,419,005x = 2,000,116,577 × 2,000,116,577
  4. Step 4: Simplify right side
    927,419,005x = 4,000,466,321,590,196,736
  5. Step 5: Solve for x
    x = 4,000,466,321,590,196,736/927,419,005
  6. Step 6: Final answer
    x = 4,313,547,921.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.