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Finding the Third Proportional to 16,840,680 and 36,375,264

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Solution

The third proportional to 16,840,680 and 36,375,264 is: 78,569,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840,680 : 36,375,264 = 36,375,264 : x
  2. Step 2: Convert to fraction form
    16,840,680/36,375,264 = 36,375,264/x
  3. Step 3: Cross multiply
    16,840,680x = 36,375,264 × 36,375,264
  4. Step 4: Simplify right side
    16,840,680x = 1,323,159,831,069,696
  5. Step 5: Solve for x
    x = 1,323,159,831,069,696/16,840,680
  6. Step 6: Final answer
    x = 78,569,263.89

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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.