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Finding the Third Proportional to 27,785,294,268 and 37,488,885,486

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Solution

The third proportional to 27,785,294,268 and 37,488,885,486 is: 50,581,308,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785,294,268 : 37,488,885,486 = 37,488,885,486 : x
  2. Step 2: Convert to fraction form
    27,785,294,268/37,488,885,486 = 37,488,885,486/x
  3. Step 3: Cross multiply
    27,785,294,268x = 37,488,885,486 × 37,488,885,486
  4. Step 4: Simplify right side
    27,785,294,268x = 1,405,416,534,982,421,381,120
  5. Step 5: Solve for x
    x = 1,405,416,534,982,421,381,120/27,785,294,268
  6. Step 6: Final answer
    x = 50,581,308,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.