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Finding the Third Proportional to 41,884,992,486 and 66,679,520,823

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Solution

The third proportional to 41,884,992,486 and 66,679,520,823 is: 106,151,588,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884,992,486 : 66,679,520,823 = 66,679,520,823 : x
  2. Step 2: Convert to fraction form
    41,884,992,486/66,679,520,823 = 66,679,520,823/x
  3. Step 3: Cross multiply
    41,884,992,486x = 66,679,520,823 × 66,679,520,823
  4. Step 4: Simplify right side
    41,884,992,486x = 4,446,158,497,184,890,748,928
  5. Step 5: Solve for x
    x = 4,446,158,497,184,890,748,928/41,884,992,486
  6. Step 6: Final answer
    x = 106,151,588,750.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.