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Finding the Third Proportional to 3,097,711 and 6,710,165

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Solution

The third proportional to 3,097,711 and 6,710,165 is: 14,535,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,711 : 6,710,165 = 6,710,165 : x
  2. Step 2: Convert to fraction form
    3,097,711/6,710,165 = 6,710,165/x
  3. Step 3: Cross multiply
    3,097,711x = 6,710,165 × 6,710,165
  4. Step 4: Simplify right side
    3,097,711x = 45,026,314,327,225
  5. Step 5: Solve for x
    x = 45,026,314,327,225/3,097,711
  6. Step 6: Final answer
    x = 14,535,350.24

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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.