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Finding the Third Proportional to 4,012,119 and 7,823,292

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Solution

The third proportional to 4,012,119 and 7,823,292 is: 15,254,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012,119 : 7,823,292 = 7,823,292 : x
  2. Step 2: Convert to fraction form
    4,012,119/7,823,292 = 7,823,292/x
  3. Step 3: Cross multiply
    4,012,119x = 7,823,292 × 7,823,292
  4. Step 4: Simplify right side
    4,012,119x = 61,203,897,717,264
  5. Step 5: Solve for x
    x = 61,203,897,717,264/4,012,119
  6. Step 6: Final answer
    x = 15,254,756.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.