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Finding the Third Proportional to 9,829,919 and 15,386,399

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Solution

The third proportional to 9,829,919 and 15,386,399 is: 24,083,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,919 : 15,386,399 = 15,386,399 : x
  2. Step 2: Convert to fraction form
    9,829,919/15,386,399 = 15,386,399/x
  3. Step 3: Cross multiply
    9,829,919x = 15,386,399 × 15,386,399
  4. Step 4: Simplify right side
    9,829,919x = 236,741,274,187,201
  5. Step 5: Solve for x
    x = 236,741,274,187,201/9,829,919
  6. Step 6: Final answer
    x = 24,083,746.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.