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Finding the Third Proportional to 9,857,885 and 21,570,971

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Solution

The third proportional to 9,857,885 and 21,570,971 is: 47,201,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,885 : 21,570,971 = 21,570,971 : x
  2. Step 2: Convert to fraction form
    9,857,885/21,570,971 = 21,570,971/x
  3. Step 3: Cross multiply
    9,857,885x = 21,570,971 × 21,570,971
  4. Step 4: Simplify right side
    9,857,885x = 465,306,789,882,841
  5. Step 5: Solve for x
    x = 465,306,789,882,841/9,857,885
  6. Step 6: Final answer
    x = 47,201,482.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.