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Finding the Third Proportional to 4,197,135 and 9,036,411

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Solution

The third proportional to 4,197,135 and 9,036,411 is: 19,455,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,135 : 9,036,411 = 9,036,411 : x
  2. Step 2: Convert to fraction form
    4,197,135/9,036,411 = 9,036,411/x
  3. Step 3: Cross multiply
    4,197,135x = 9,036,411 × 9,036,411
  4. Step 4: Simplify right side
    4,197,135x = 81,656,723,760,921
  5. Step 5: Solve for x
    x = 81,656,723,760,921/4,197,135
  6. Step 6: Final answer
    x = 19,455,348.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.