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Finding the Third Proportional to 5,693,374,917,630 and 8,673,268,434,921

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Solution

The third proportional to 5,693,374,917,630 and 8,673,268,434,921 is: 13,212,828,319,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693,374,917,630 : 8,673,268,434,921 = 8,673,268,434,921 : x
  2. Step 2: Convert to fraction form
    5,693,374,917,630/8,673,268,434,921 = 8,673,268,434,921/x
  3. Step 3: Cross multiply
    5,693,374,917,630x = 8,673,268,434,921 × 8,673,268,434,921
  4. Step 4: Simplify right side
    5,693,374,917,630x = 75,225,585,344,196,976,798,859,264
  5. Step 5: Solve for x
    x = 75,225,585,344,196,976,798,859,264/5,693,374,917,630
  6. Step 6: Final answer
    x = 13,212,828,319,325.12

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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.