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Finding the Third Proportional to 7,424,930 and 11,814,639

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Solution

The third proportional to 7,424,930 and 11,814,639 is: 18,799,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424,930 : 11,814,639 = 11,814,639 : x
  2. Step 2: Convert to fraction form
    7,424,930/11,814,639 = 11,814,639/x
  3. Step 3: Cross multiply
    7,424,930x = 11,814,639 × 11,814,639
  4. Step 4: Simplify right side
    7,424,930x = 139,585,694,700,321
  5. Step 5: Solve for x
    x = 139,585,694,700,321/7,424,930
  6. Step 6: Final answer
    x = 18,799,597.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.