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Finding the Third Proportional to 10,832,275 and 23,789,989

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Solution

The third proportional to 10,832,275 and 23,789,989 is: 52,247,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,275 : 23,789,989 = 23,789,989 : x
  2. Step 2: Convert to fraction form
    10,832,275/23,789,989 = 23,789,989/x
  3. Step 3: Cross multiply
    10,832,275x = 23,789,989 × 23,789,989
  4. Step 4: Simplify right side
    10,832,275x = 565,963,576,620,121
  5. Step 5: Solve for x
    x = 565,963,576,620,121/10,832,275
  6. Step 6: Final answer
    x = 52,247,895.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.