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Finding the Third Proportional to 1,269,515,981 and 1,960,872,073.50

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Solution

The third proportional to 1,269,515,981 and 1,960,872,073.50 is: 3,028,728,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,515,981 : 1,960,872,073.50 = 1,960,872,073.50 : x
  2. Step 2: Convert to fraction form
    1,269,515,981/1,960,872,073.50 = 1,960,872,073.50/x
  3. Step 3: Cross multiply
    1,269,515,981x = 1,960,872,073.50 × 1,960,872,073.50
  4. Step 4: Simplify right side
    1,269,515,981x = 3,845,019,288,632,189,440
  5. Step 5: Solve for x
    x = 3,845,019,288,632,189,440/1,269,515,981
  6. Step 6: Final answer
    x = 3,028,728,543.93

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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.