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Finding the Third Proportional to 9,857,256 and 21,572,724

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Solution

The third proportional to 9,857,256 and 21,572,724 is: 47,212,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,256 : 21,572,724 = 21,572,724 : x
  2. Step 2: Convert to fraction form
    9,857,256/21,572,724 = 21,572,724/x
  3. Step 3: Cross multiply
    9,857,256x = 21,572,724 × 21,572,724
  4. Step 4: Simplify right side
    9,857,256x = 465,382,420,780,176
  5. Step 5: Solve for x
    x = 465,382,420,780,176/9,857,256
  6. Step 6: Final answer
    x = 47,212,167.44

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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.