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Finding the Third Proportional to 6,811,041 and 14,547,423

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Solution

The third proportional to 6,811,041 and 14,547,423 is: 31,071,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,041 : 14,547,423 = 14,547,423 : x
  2. Step 2: Convert to fraction form
    6,811,041/14,547,423 = 14,547,423/x
  3. Step 3: Cross multiply
    6,811,041x = 14,547,423 × 14,547,423
  4. Step 4: Simplify right side
    6,811,041x = 211,627,515,940,929
  5. Step 5: Solve for x
    x = 211,627,515,940,929/6,811,041
  6. Step 6: Final answer
    x = 31,071,243.87

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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.