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Finding the Third Proportional to 66,834,737 and 102,239,036

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Solution

The third proportional to 66,834,737 and 102,239,036 is: 156,398,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,737 : 102,239,036 = 102,239,036 : x
  2. Step 2: Convert to fraction form
    66,834,737/102,239,036 = 102,239,036/x
  3. Step 3: Cross multiply
    66,834,737x = 102,239,036 × 102,239,036
  4. Step 4: Simplify right side
    66,834,737x = 10,452,820,482,209,296
  5. Step 5: Solve for x
    x = 10,452,820,482,209,296/66,834,737
  6. Step 6: Final answer
    x = 156,398,019.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.