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Finding the Third Proportional to 962,006,508 and 1,487,187,249.75

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Solution

The third proportional to 962,006,508 and 1,487,187,249.75 is: 2,299,075,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,006,508 : 1,487,187,249.75 = 1,487,187,249.75 : x
  2. Step 2: Convert to fraction form
    962,006,508/1,487,187,249.75 = 1,487,187,249.75/x
  3. Step 3: Cross multiply
    962,006,508x = 1,487,187,249.75 × 1,487,187,249.75
  4. Step 4: Simplify right side
    962,006,508x = 2,211,725,915,818,968,832
  5. Step 5: Solve for x
    x = 2,211,725,915,818,968,832/962,006,508
  6. Step 6: Final answer
    x = 2,299,075,835.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.