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Finding the Third Proportional to 2,750,412 and 6,503,214

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Solution

The third proportional to 2,750,412 and 6,503,214 is: 15,376,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750,412 : 6,503,214 = 6,503,214 : x
  2. Step 2: Convert to fraction form
    2,750,412/6,503,214 = 6,503,214/x
  3. Step 3: Cross multiply
    2,750,412x = 6,503,214 × 6,503,214
  4. Step 4: Simplify right side
    2,750,412x = 42,291,792,329,796
  5. Step 5: Solve for x
    x = 42,291,792,329,796/2,750,412
  6. Step 6: Final answer
    x = 15,376,529.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.