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Finding the Third Proportional to 10,441,478 and 22,425,340

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Solution

The third proportional to 10,441,478 and 22,425,340 is: 48,163,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441,478 : 22,425,340 = 22,425,340 : x
  2. Step 2: Convert to fraction form
    10,441,478/22,425,340 = 22,425,340/x
  3. Step 3: Cross multiply
    10,441,478x = 22,425,340 × 22,425,340
  4. Step 4: Simplify right side
    10,441,478x = 502,895,874,115,600
  5. Step 5: Solve for x
    x = 502,895,874,115,600/10,441,478
  6. Step 6: Final answer
    x = 48,163,284.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.