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Finding the Third Proportional to 81,884,444,380 and 125,806,398,762

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Solution

The third proportional to 81,884,444,380 and 125,806,398,762 is: 193,287,627,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884,444,380 : 125,806,398,762 = 125,806,398,762 : x
  2. Step 2: Convert to fraction form
    81,884,444,380/125,806,398,762 = 125,806,398,762/x
  3. Step 3: Cross multiply
    81,884,444,380x = 125,806,398,762 × 125,806,398,762
  4. Step 4: Simplify right side
    81,884,444,380x = 15,827,249,969,463,354,720,256
  5. Step 5: Solve for x
    x = 15,827,249,969,463,354,720,256/81,884,444,380
  6. Step 6: Final answer
    x = 193,287,627,330.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.