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Finding the Third Proportional to 17,781,043,536 and 38,396,077,035.75

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Solution

The third proportional to 17,781,043,536 and 38,396,077,035.75 is: 82,911,822,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781,043,536 : 38,396,077,035.75 = 38,396,077,035.75 : x
  2. Step 2: Convert to fraction form
    17,781,043,536/38,396,077,035.75 = 38,396,077,035.75/x
  3. Step 3: Cross multiply
    17,781,043,536x = 38,396,077,035.75 × 38,396,077,035.75
  4. Step 4: Simplify right side
    17,781,043,536x = 1,474,258,731,735,248,535,552
  5. Step 5: Solve for x
    x = 1,474,258,731,735,248,535,552/17,781,043,536
  6. Step 6: Final answer
    x = 82,911,822,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.