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Finding the Third Proportional to 9,707,712.75 and 21,570,327

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Solution

The third proportional to 9,707,712.75 and 21,570,327 is: 47,928,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707,712.75 : 21,570,327 = 21,570,327 : x
  2. Step 2: Convert to fraction form
    9,707,712.75/21,570,327 = 21,570,327/x
  3. Step 3: Cross multiply
    9,707,712.75x = 21,570,327 × 21,570,327
  4. Step 4: Simplify right side
    9,707,712.75x = 465,279,006,886,929
  5. Step 5: Solve for x
    x = 465,279,006,886,929/9,707,712.75
  6. Step 6: Final answer
    x = 47,928,798.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.