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Finding the Third Proportional to 61,975,941,632 and 132,568,313,360

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Solution

The third proportional to 61,975,941,632 and 132,568,313,360 is: 283,567,417,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,975,941,632 : 132,568,313,360 = 132,568,313,360 : x
  2. Step 2: Convert to fraction form
    61,975,941,632/132,568,313,360 = 132,568,313,360/x
  3. Step 3: Cross multiply
    61,975,941,632x = 132,568,313,360 × 132,568,313,360
  4. Step 4: Simplify right side
    61,975,941,632x = 17,574,357,707,115,154,374,656
  5. Step 5: Solve for x
    x = 17,574,357,707,115,154,374,656/61,975,941,632
  6. Step 6: Final answer
    x = 283,567,417,361.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.