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Finding the Third Proportional to 10,650,357 and 23,328,019.50

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Solution

The third proportional to 10,650,357 and 23,328,019.50 is: 51,096,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650,357 : 23,328,019.50 = 23,328,019.50 : x
  2. Step 2: Convert to fraction form
    10,650,357/23,328,019.50 = 23,328,019.50/x
  3. Step 3: Cross multiply
    10,650,357x = 23,328,019.50 × 23,328,019.50
  4. Step 4: Simplify right side
    10,650,357x = 544,196,493,792,380.25
  5. Step 5: Solve for x
    x = 544,196,493,792,380.25/10,650,357
  6. Step 6: Final answer
    x = 51,096,549.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.