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Finding the Third Proportional to 7,654,716 and 16,408,428

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Solution

The third proportional to 7,654,716 and 16,408,428 is: 35,172,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654,716 : 16,408,428 = 16,408,428 : x
  2. Step 2: Convert to fraction form
    7,654,716/16,408,428 = 16,408,428/x
  3. Step 3: Cross multiply
    7,654,716x = 16,408,428 × 16,408,428
  4. Step 4: Simplify right side
    7,654,716x = 269,236,509,431,184
  5. Step 5: Solve for x
    x = 269,236,509,431,184/7,654,716
  6. Step 6: Final answer
    x = 35,172,632.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.