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Finding the Third Proportional to 8,914,827,680 and 19,431,551,532

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Solution

The third proportional to 8,914,827,680 and 19,431,551,532 is: 42,354,738,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914,827,680 : 19,431,551,532 = 19,431,551,532 : x
  2. Step 2: Convert to fraction form
    8,914,827,680/19,431,551,532 = 19,431,551,532/x
  3. Step 3: Cross multiply
    8,914,827,680x = 19,431,551,532 × 19,431,551,532
  4. Step 4: Simplify right side
    8,914,827,680x = 377,585,194,940,771,532,800
  5. Step 5: Solve for x
    x = 377,585,194,940,771,532,800/8,914,827,680
  6. Step 6: Final answer
    x = 42,354,738,475.53

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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.