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Finding the Third Proportional to 7,419,319 and 16,107,624

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Solution

The third proportional to 7,419,319 and 16,107,624 is: 34,970,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,319 : 16,107,624 = 16,107,624 : x
  2. Step 2: Convert to fraction form
    7,419,319/16,107,624 = 16,107,624/x
  3. Step 3: Cross multiply
    7,419,319x = 16,107,624 × 16,107,624
  4. Step 4: Simplify right side
    7,419,319x = 259,455,550,925,376
  5. Step 5: Solve for x
    x = 259,455,550,925,376/7,419,319
  6. Step 6: Final answer
    x = 34,970,264.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.