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Finding the Third Proportional to 4,197,125 and 9,036,391

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Solution

The third proportional to 4,197,125 and 9,036,391 is: 19,455,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,125 : 9,036,391 = 9,036,391 : x
  2. Step 2: Convert to fraction form
    4,197,125/9,036,391 = 9,036,391/x
  3. Step 3: Cross multiply
    4,197,125x = 9,036,391 × 9,036,391
  4. Step 4: Simplify right side
    4,197,125x = 81,656,362,304,881
  5. Step 5: Solve for x
    x = 81,656,362,304,881/4,197,125
  6. Step 6: Final answer
    x = 19,455,308.65

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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.