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Finding the Third Proportional to 1,209,502,566,520 and 2,591,524,157,608

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Solution

The third proportional to 1,209,502,566,520 and 2,591,524,157,608 is: 5,552,693,847,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,502,566,520 : 2,591,524,157,608 = 2,591,524,157,608 : x
  2. Step 2: Convert to fraction form
    1,209,502,566,520/2,591,524,157,608 = 2,591,524,157,608/x
  3. Step 3: Cross multiply
    1,209,502,566,520x = 2,591,524,157,608 × 2,591,524,157,608
  4. Step 4: Simplify right side
    1,209,502,566,520x = 6,715,997,459,465,854,043,291,648
  5. Step 5: Solve for x
    x = 6,715,997,459,465,854,043,291,648/1,209,502,566,520
  6. Step 6: Final answer
    x = 5,552,693,847,346.87

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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.