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Finding the Third Proportional to 64,092,079,847 and 94,218,200,584

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Solution

The third proportional to 64,092,079,847 and 94,218,200,584 is: 138,504,934,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,092,079,847 : 94,218,200,584 = 94,218,200,584 : x
  2. Step 2: Convert to fraction form
    64,092,079,847/94,218,200,584 = 94,218,200,584/x
  3. Step 3: Cross multiply
    64,092,079,847x = 94,218,200,584 × 94,218,200,584
  4. Step 4: Simplify right side
    64,092,079,847x = 8,877,069,321,286,858,047,488
  5. Step 5: Solve for x
    x = 8,877,069,321,286,858,047,488/64,092,079,847
  6. Step 6: Final answer
    x = 138,504,934,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.