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Finding the Third Proportional to 3,098,760 and 6,645,776

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Solution

The third proportional to 3,098,760 and 6,645,776 is: 14,252,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,760 : 6,645,776 = 6,645,776 : x
  2. Step 2: Convert to fraction form
    3,098,760/6,645,776 = 6,645,776/x
  3. Step 3: Cross multiply
    3,098,760x = 6,645,776 × 6,645,776
  4. Step 4: Simplify right side
    3,098,760x = 44,166,338,642,176
  5. Step 5: Solve for x
    x = 44,166,338,642,176/3,098,760
  6. Step 6: Final answer
    x = 14,252,907.18

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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.