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Finding the Third Proportional to 6,829,844 and 14,862,376

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Solution

The third proportional to 6,829,844 and 14,862,376 is: 32,341,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,844 : 14,862,376 = 14,862,376 : x
  2. Step 2: Convert to fraction form
    6,829,844/14,862,376 = 14,862,376/x
  3. Step 3: Cross multiply
    6,829,844x = 14,862,376 × 14,862,376
  4. Step 4: Simplify right side
    6,829,844x = 220,890,220,365,376
  5. Step 5: Solve for x
    x = 220,890,220,365,376/6,829,844
  6. Step 6: Final answer
    x = 32,341,912.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.