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Finding the Third Proportional to 6,457,779 and 13,942,863

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Solution

The third proportional to 6,457,779 and 13,942,863 is: 30,103,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,779 : 13,942,863 = 13,942,863 : x
  2. Step 2: Convert to fraction form
    6,457,779/13,942,863 = 13,942,863/x
  3. Step 3: Cross multiply
    6,457,779x = 13,942,863 × 13,942,863
  4. Step 4: Simplify right side
    6,457,779x = 194,403,428,636,769
  5. Step 5: Solve for x
    x = 194,403,428,636,769/6,457,779
  6. Step 6: Final answer
    x = 30,103,759.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.