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Finding the Third Proportional to 9,353,814 and 20,400,348

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Solution

The third proportional to 9,353,814 and 20,400,348 is: 44,492,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353,814 : 20,400,348 = 20,400,348 : x
  2. Step 2: Convert to fraction form
    9,353,814/20,400,348 = 20,400,348/x
  3. Step 3: Cross multiply
    9,353,814x = 20,400,348 × 20,400,348
  4. Step 4: Simplify right side
    9,353,814x = 416,174,198,521,104
  5. Step 5: Solve for x
    x = 416,174,198,521,104/9,353,814
  6. Step 6: Final answer
    x = 44,492,460.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.