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Finding the Third Proportional to 5,693,374,917,632 and 8,673,268,434,924

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Solution

The third proportional to 5,693,374,917,632 and 8,673,268,434,924 is: 13,212,828,319,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693,374,917,632 : 8,673,268,434,924 = 8,673,268,434,924 : x
  2. Step 2: Convert to fraction form
    5,693,374,917,632/8,673,268,434,924 = 8,673,268,434,924/x
  3. Step 3: Cross multiply
    5,693,374,917,632x = 8,673,268,434,924 × 8,673,268,434,924
  4. Step 4: Simplify right side
    5,693,374,917,632x = 75,225,585,344,249,014,622,617,600
  5. Step 5: Solve for x
    x = 75,225,585,344,249,014,622,617,600/5,693,374,917,632
  6. Step 6: Final answer
    x = 13,212,828,319,329.62

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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.