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Finding the Third Proportional to 3,148,620,924 and 7,289,250,438

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Solution

The third proportional to 3,148,620,924 and 7,289,250,438 is: 16,875,061,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,620,924 : 7,289,250,438 = 7,289,250,438 : x
  2. Step 2: Convert to fraction form
    3,148,620,924/7,289,250,438 = 7,289,250,438/x
  3. Step 3: Cross multiply
    3,148,620,924x = 7,289,250,438 × 7,289,250,438
  4. Step 4: Simplify right side
    3,148,620,924x = 53,133,171,947,883,192,320
  5. Step 5: Solve for x
    x = 53,133,171,947,883,192,320/3,148,620,924
  6. Step 6: Final answer
    x = 16,875,061,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.