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Finding the Third Proportional to 1,891,800,086 and 4,420,098,617

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Solution

The third proportional to 1,891,800,086 and 4,420,098,617 is: 10,327,344,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,800,086 : 4,420,098,617 = 4,420,098,617 : x
  2. Step 2: Convert to fraction form
    1,891,800,086/4,420,098,617 = 4,420,098,617/x
  3. Step 3: Cross multiply
    1,891,800,086x = 4,420,098,617 × 4,420,098,617
  4. Step 4: Simplify right side
    1,891,800,086x = 19,537,271,784,005,312,512
  5. Step 5: Solve for x
    x = 19,537,271,784,005,312,512/1,891,800,086
  6. Step 6: Final answer
    x = 10,327,344,801.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.