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Finding the Third Proportional to 1,269,516,000 and 1,960,872,108

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Solution

The third proportional to 1,269,516,000 and 1,960,872,108 is: 3,028,728,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,516,000 : 1,960,872,108 = 1,960,872,108 : x
  2. Step 2: Convert to fraction form
    1,269,516,000/1,960,872,108 = 1,960,872,108/x
  3. Step 3: Cross multiply
    1,269,516,000x = 1,960,872,108 × 1,960,872,108
  4. Step 4: Simplify right side
    1,269,516,000x = 3,845,019,423,932,363,776
  5. Step 5: Solve for x
    x = 3,845,019,423,932,363,776/1,269,516,000
  6. Step 6: Final answer
    x = 3,028,728,605.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.