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Finding the Third Proportional to 3,968,724 and 8,693,769

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Solution

The third proportional to 3,968,724 and 8,693,769 is: 19,044,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,724 : 8,693,769 = 8,693,769 : x
  2. Step 2: Convert to fraction form
    3,968,724/8,693,769 = 8,693,769/x
  3. Step 3: Cross multiply
    3,968,724x = 8,693,769 × 8,693,769
  4. Step 4: Simplify right side
    3,968,724x = 75,581,619,425,361
  5. Step 5: Solve for x
    x = 75,581,619,425,361/3,968,724
  6. Step 6: Final answer
    x = 19,044,312.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.