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Finding the Third Proportional to 1,209,502,566,502 and 2,591,524,157,576

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Solution

The third proportional to 1,209,502,566,502 and 2,591,524,157,576 is: 5,552,693,847,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,502,566,502 : 2,591,524,157,576 = 2,591,524,157,576 : x
  2. Step 2: Convert to fraction form
    1,209,502,566,502/2,591,524,157,576 = 2,591,524,157,576/x
  3. Step 3: Cross multiply
    1,209,502,566,502x = 2,591,524,157,576 × 2,591,524,157,576
  4. Step 4: Simplify right side
    1,209,502,566,502x = 6,715,997,459,299,996,364,963,840
  5. Step 5: Solve for x
    x = 6,715,997,459,299,996,364,963,840/1,209,502,566,502
  6. Step 6: Final answer
    x = 5,552,693,847,292.38

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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.