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Finding the Third Proportional to 918,791,124 and 1,412,247,942

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Solution

The third proportional to 918,791,124 and 1,412,247,942 is: 2,170,726,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,791,124 : 1,412,247,942 = 1,412,247,942 : x
  2. Step 2: Convert to fraction form
    918,791,124/1,412,247,942 = 1,412,247,942/x
  3. Step 3: Cross multiply
    918,791,124x = 1,412,247,942 × 1,412,247,942
  4. Step 4: Simplify right side
    918,791,124x = 1,994,444,249,683,235,328
  5. Step 5: Solve for x
    x = 1,994,444,249,683,235,328/918,791,124
  6. Step 6: Final answer
    x = 2,170,726,509.63

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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.