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Finding the Third Proportional to 7,670,581,874,802 and 16,691,495,155,868

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Solution

The third proportional to 7,670,581,874,802 and 16,691,495,155,868 is: 36,321,365,847,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,581,874,802 : 16,691,495,155,868 = 16,691,495,155,868 : x
  2. Step 2: Convert to fraction form
    7,670,581,874,802/16,691,495,155,868 = 16,691,495,155,868/x
  3. Step 3: Cross multiply
    7,670,581,874,802x = 16,691,495,155,868 × 16,691,495,155,868
  4. Step 4: Simplify right side
    7,670,581,874,802x = 278,606,010,538,364,914,785,845,248
  5. Step 5: Solve for x
    x = 278,606,010,538,364,914,785,845,248/7,670,581,874,802
  6. Step 6: Final answer
    x = 36,321,365,847,562.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.