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Finding the Third Proportional to 1,730,486,155,851 and 2,543,891,415,750

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Solution

The third proportional to 1,730,486,155,851 and 2,543,891,415,750 is: 3,739,633,231,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,486,155,851 : 2,543,891,415,750 = 2,543,891,415,750 : x
  2. Step 2: Convert to fraction form
    1,730,486,155,851/2,543,891,415,750 = 2,543,891,415,750/x
  3. Step 3: Cross multiply
    1,730,486,155,851x = 2,543,891,415,750 × 2,543,891,415,750
  4. Step 4: Simplify right side
    1,730,486,155,851x = 6,471,383,535,126,539,805,917,184
  5. Step 5: Solve for x
    x = 6,471,383,535,126,539,805,917,184/1,730,486,155,851
  6. Step 6: Final answer
    x = 3,739,633,231,532.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.