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Finding the Third Proportional to 40,177,482,354 and 66,156,426,891

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Solution

The third proportional to 40,177,482,354 and 66,156,426,891 is: 108,933,476,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,177,482,354 : 66,156,426,891 = 66,156,426,891 : x
  2. Step 2: Convert to fraction form
    40,177,482,354/66,156,426,891 = 66,156,426,891/x
  3. Step 3: Cross multiply
    40,177,482,354x = 66,156,426,891 × 66,156,426,891
  4. Step 4: Simplify right side
    40,177,482,354x = 4,376,672,818,984,227,700,736
  5. Step 5: Solve for x
    x = 4,376,672,818,984,227,700,736/40,177,482,354
  6. Step 6: Final answer
    x = 108,933,476,229.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.