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Finding the Third Proportional to 6,856,658 and 14,624,566

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Solution

The third proportional to 6,856,658 and 14,624,566 is: 31,192,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,658 : 14,624,566 = 14,624,566 : x
  2. Step 2: Convert to fraction form
    6,856,658/14,624,566 = 14,624,566/x
  3. Step 3: Cross multiply
    6,856,658x = 14,624,566 × 14,624,566
  4. Step 4: Simplify right side
    6,856,658x = 213,877,930,688,356
  5. Step 5: Solve for x
    x = 213,877,930,688,356/6,856,658
  6. Step 6: Final answer
    x = 31,192,737.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.