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Finding the Third Proportional to 269,689,001 and 591,871,630

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Solution

The third proportional to 269,689,001 and 591,871,630 is: 1,298,948,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,689,001 : 591,871,630 = 591,871,630 : x
  2. Step 2: Convert to fraction form
    269,689,001/591,871,630 = 591,871,630/x
  3. Step 3: Cross multiply
    269,689,001x = 591,871,630 × 591,871,630
  4. Step 4: Simplify right side
    269,689,001x = 350,312,026,398,856,896
  5. Step 5: Solve for x
    x = 350,312,026,398,856,896/269,689,001
  6. Step 6: Final answer
    x = 1,298,948,140.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.