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Finding the Third Proportional to 2,361,465,690.75 and 5,466,937,822.88

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Solution

The third proportional to 2,361,465,690.75 and 5,466,937,822.88 is: 12,656,296,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,465,690.75 : 5,466,937,822.88 = 5,466,937,822.88 : x
  2. Step 2: Convert to fraction form
    2,361,465,690.75/5,466,937,822.88 = 5,466,937,822.88/x
  3. Step 3: Cross multiply
    2,361,465,690.75x = 5,466,937,822.88 × 5,466,937,822.88
  4. Step 4: Simplify right side
    2,361,465,690.75x = 29,887,409,159,181,246,464
  5. Step 5: Solve for x
    x = 29,887,409,159,181,246,464/2,361,465,690.75
  6. Step 6: Final answer
    x = 12,656,296,162.27

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