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Finding the Third Proportional to 7,570,746 and 16,419,267

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Solution

The third proportional to 7,570,746 and 16,419,267 is: 35,609,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,746 : 16,419,267 = 16,419,267 : x
  2. Step 2: Convert to fraction form
    7,570,746/16,419,267 = 16,419,267/x
  3. Step 3: Cross multiply
    7,570,746x = 16,419,267 × 16,419,267
  4. Step 4: Simplify right side
    7,570,746x = 269,592,328,817,289
  5. Step 5: Solve for x
    x = 269,592,328,817,289/7,570,746
  6. Step 6: Final answer
    x = 35,609,744.25

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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.