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Finding the Third Proportional to 7,480,800 and 16,157,340

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Solution

The third proportional to 7,480,800 and 16,157,340 is: 34,897,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480,800 : 16,157,340 = 16,157,340 : x
  2. Step 2: Convert to fraction form
    7,480,800/16,157,340 = 16,157,340/x
  3. Step 3: Cross multiply
    7,480,800x = 16,157,340 × 16,157,340
  4. Step 4: Simplify right side
    7,480,800x = 261,059,635,875,600
  5. Step 5: Solve for x
    x = 261,059,635,875,600/7,480,800
  6. Step 6: Final answer
    x = 34,897,288.51

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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.