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Finding the Third Proportional to 6,612,684 and 10,213,659

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Solution

The third proportional to 6,612,684 and 10,213,659 is: 15,775,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,684 : 10,213,659 = 10,213,659 : x
  2. Step 2: Convert to fraction form
    6,612,684/10,213,659 = 10,213,659/x
  3. Step 3: Cross multiply
    6,612,684x = 10,213,659 × 10,213,659
  4. Step 4: Simplify right side
    6,612,684x = 104,318,830,168,281
  5. Step 5: Solve for x
    x = 104,318,830,168,281/6,612,684
  6. Step 6: Final answer
    x = 15,775,565.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.