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Finding the Third Proportional to 7,308,651 and 10,217,637

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Solution

The third proportional to 7,308,651 and 10,217,637 is: 14,284,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308,651 : 10,217,637 = 10,217,637 : x
  2. Step 2: Convert to fraction form
    7,308,651/10,217,637 = 10,217,637/x
  3. Step 3: Cross multiply
    7,308,651x = 10,217,637 × 10,217,637
  4. Step 4: Simplify right side
    7,308,651x = 104,400,105,863,769
  5. Step 5: Solve for x
    x = 104,400,105,863,769/7,308,651
  6. Step 6: Final answer
    x = 14,284,456.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.