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Finding the Third Proportional to 49,793,764,014 and 76,489,312,159.13

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Solution

The third proportional to 49,793,764,014 and 76,489,312,159.13 is: 117,496,939,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793,764,014 : 76,489,312,159.13 = 76,489,312,159.13 : x
  2. Step 2: Convert to fraction form
    49,793,764,014/76,489,312,159.13 = 76,489,312,159.13/x
  3. Step 3: Cross multiply
    49,793,764,014x = 76,489,312,159.13 × 76,489,312,159.13
  4. Step 4: Simplify right side
    49,793,764,014x = 5,850,614,874,576,067,231,744
  5. Step 5: Solve for x
    x = 5,850,614,874,576,067,231,744/49,793,764,014
  6. Step 6: Final answer
    x = 117,496,939,434.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.