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Finding the Third Proportional to 4,627,178,924 and 7,049,189,160

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Solution

The third proportional to 4,627,178,924 and 7,049,189,160 is: 10,738,955,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627,178,924 : 7,049,189,160 = 7,049,189,160 : x
  2. Step 2: Convert to fraction form
    4,627,178,924/7,049,189,160 = 7,049,189,160/x
  3. Step 3: Cross multiply
    4,627,178,924x = 7,049,189,160 × 7,049,189,160
  4. Step 4: Simplify right side
    4,627,178,924x = 49,691,067,813,461,508,096
  5. Step 5: Solve for x
    x = 49,691,067,813,461,508,096/4,627,178,924
  6. Step 6: Final answer
    x = 10,738,955,339.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.