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Finding the Third Proportional to 2,693,711 and 5,814,724

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Solution

The third proportional to 2,693,711 and 5,814,724 is: 12,551,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,711 : 5,814,724 = 5,814,724 : x
  2. Step 2: Convert to fraction form
    2,693,711/5,814,724 = 5,814,724/x
  3. Step 3: Cross multiply
    2,693,711x = 5,814,724 × 5,814,724
  4. Step 4: Simplify right side
    2,693,711x = 33,811,015,196,176
  5. Step 5: Solve for x
    x = 33,811,015,196,176/2,693,711
  6. Step 6: Final answer
    x = 12,551,834.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.