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Finding the Third Proportional to 2,361,465,694 and 5,466,937,831

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Solution

The third proportional to 2,361,465,694 and 5,466,937,831 is: 12,656,296,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,465,694 : 5,466,937,831 = 5,466,937,831 : x
  2. Step 2: Convert to fraction form
    2,361,465,694/5,466,937,831 = 5,466,937,831/x
  3. Step 3: Cross multiply
    2,361,465,694x = 5,466,937,831 × 5,466,937,831
  4. Step 4: Simplify right side
    2,361,465,694x = 29,887,409,248,018,984,960
  5. Step 5: Solve for x
    x = 29,887,409,248,018,984,960/2,361,465,694
  6. Step 6: Final answer
    x = 12,656,296,182.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.