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Finding the Third Proportional to 1,209,502,566,512 and 2,591,524,157,594

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Solution

The third proportional to 1,209,502,566,512 and 2,591,524,157,594 is: 5,552,693,847,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,502,566,512 : 2,591,524,157,594 = 2,591,524,157,594 : x
  2. Step 2: Convert to fraction form
    1,209,502,566,512/2,591,524,157,594 = 2,591,524,157,594/x
  3. Step 3: Cross multiply
    1,209,502,566,512x = 2,591,524,157,594 × 2,591,524,157,594
  4. Step 4: Simplify right side
    1,209,502,566,512x = 6,715,997,459,393,291,644,567,552
  5. Step 5: Solve for x
    x = 6,715,997,459,393,291,644,567,552/1,209,502,566,512
  6. Step 6: Final answer
    x = 5,552,693,847,323.60

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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.