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Finding the Third Proportional to 3,166,646.91 and 6,781,697.16

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Solution

The third proportional to 3,166,646.91 and 6,781,697.16 is: 14,523,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,646.91 : 6,781,697.16 = 6,781,697.16 : x
  2. Step 2: Convert to fraction form
    3,166,646.91/6,781,697.16 = 6,781,697.16/x
  3. Step 3: Cross multiply
    3,166,646.91x = 6,781,697.16 × 6,781,697.16
  4. Step 4: Simplify right side
    3,166,646.91x = 45,991,416,319,089.34
  5. Step 5: Solve for x
    x = 45,991,416,319,089.34/3,166,646.91
  6. Step 6: Final answer
    x = 14,523,695.78

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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.