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Finding the Third Proportional to 6,877,881 and 14,949,846

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Solution

The third proportional to 6,877,881 and 14,949,846 is: 32,495,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,881 : 14,949,846 = 14,949,846 : x
  2. Step 2: Convert to fraction form
    6,877,881/14,949,846 = 14,949,846/x
  3. Step 3: Cross multiply
    6,877,881x = 14,949,846 × 14,949,846
  4. Step 4: Simplify right side
    6,877,881x = 223,497,895,423,716
  5. Step 5: Solve for x
    x = 223,497,895,423,716/6,877,881
  6. Step 6: Final answer
    x = 32,495,167.54

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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.