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Finding the Third Proportional to 7,620,624 and 10,497,816

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Solution

The third proportional to 7,620,624 and 10,497,816 is: 14,461,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,624 : 10,497,816 = 10,497,816 : x
  2. Step 2: Convert to fraction form
    7,620,624/10,497,816 = 10,497,816/x
  3. Step 3: Cross multiply
    7,620,624x = 10,497,816 × 10,497,816
  4. Step 4: Simplify right side
    7,620,624x = 110,204,140,769,856
  5. Step 5: Solve for x
    x = 110,204,140,769,856/7,620,624
  6. Step 6: Final answer
    x = 14,461,301.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.