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Finding the Third Proportional to 3,948,868,969,644 and 5,560,877,680,758

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Solution

The third proportional to 3,948,868,969,644 and 5,560,877,680,758 is: 7,830,941,167,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948,868,969,644 : 5,560,877,680,758 = 5,560,877,680,758 : x
  2. Step 2: Convert to fraction form
    3,948,868,969,644/5,560,877,680,758 = 5,560,877,680,758/x
  3. Step 3: Cross multiply
    3,948,868,969,644x = 5,560,877,680,758 × 5,560,877,680,758
  4. Step 4: Simplify right side
    3,948,868,969,644x = 30,923,360,580,352,474,020,315,136
  5. Step 5: Solve for x
    x = 30,923,360,580,352,474,020,315,136/3,948,868,969,644
  6. Step 6: Final answer
    x = 7,830,941,167,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.