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Finding the Third Proportional to 15,829,328 and 23,650,815

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Solution

The third proportional to 15,829,328 and 23,650,815 is: 35,337,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829,328 : 23,650,815 = 23,650,815 : x
  2. Step 2: Convert to fraction form
    15,829,328/23,650,815 = 23,650,815/x
  3. Step 3: Cross multiply
    15,829,328x = 23,650,815 × 23,650,815
  4. Step 4: Simplify right side
    15,829,328x = 559,361,050,164,225
  5. Step 5: Solve for x
    x = 559,361,050,164,225/15,829,328
  6. Step 6: Final answer
    x = 35,337,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.