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Finding the Third Proportional to 10,662,648.75 and 23,024,340

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Solution

The third proportional to 10,662,648.75 and 23,024,340 is: 49,717,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662,648.75 : 23,024,340 = 23,024,340 : x
  2. Step 2: Convert to fraction form
    10,662,648.75/23,024,340 = 23,024,340/x
  3. Step 3: Cross multiply
    10,662,648.75x = 23,024,340 × 23,024,340
  4. Step 4: Simplify right side
    10,662,648.75x = 530,120,232,435,600
  5. Step 5: Solve for x
    x = 530,120,232,435,600/10,662,648.75
  6. Step 6: Final answer
    x = 49,717,499.36

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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.