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Finding the Third Proportional to 10,640,484 and 16,509,600

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Solution

The third proportional to 10,640,484 and 16,509,600 is: 25,616,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640,484 : 16,509,600 = 16,509,600 : x
  2. Step 2: Convert to fraction form
    10,640,484/16,509,600 = 16,509,600/x
  3. Step 3: Cross multiply
    10,640,484x = 16,509,600 × 16,509,600
  4. Step 4: Simplify right side
    10,640,484x = 272,566,892,160,000
  5. Step 5: Solve for x
    x = 272,566,892,160,000/10,640,484
  6. Step 6: Final answer
    x = 25,616,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.