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Finding the Third Proportional to 841,420,023,418 and 1,706,253,541,838

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Solution

The third proportional to 841,420,023,418 and 1,706,253,541,838 is: 3,459,985,581,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,420,023,418 : 1,706,253,541,838 = 1,706,253,541,838 : x
  2. Step 2: Convert to fraction form
    841,420,023,418/1,706,253,541,838 = 1,706,253,541,838/x
  3. Step 3: Cross multiply
    841,420,023,418x = 1,706,253,541,838 × 1,706,253,541,838
  4. Step 4: Simplify right side
    841,420,023,418x = 2,911,301,149,034,719,618,269,184
  5. Step 5: Solve for x
    x = 2,911,301,149,034,719,618,269,184/841,420,023,418
  6. Step 6: Final answer
    x = 3,459,985,581,527.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.