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Finding the Third Proportional to 2,811,448 and 6,029,696

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Solution

The third proportional to 2,811,448 and 6,029,696 is: 12,931,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,448 : 6,029,696 = 6,029,696 : x
  2. Step 2: Convert to fraction form
    2,811,448/6,029,696 = 6,029,696/x
  3. Step 3: Cross multiply
    2,811,448x = 6,029,696 × 6,029,696
  4. Step 4: Simplify right side
    2,811,448x = 36,357,233,852,416
  5. Step 5: Solve for x
    x = 36,357,233,852,416/2,811,448
  6. Step 6: Final answer
    x = 12,931,853.57

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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.