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Finding the Third Proportional to 10,522,058,169 and 22,896,422,717.25

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Solution

The third proportional to 10,522,058,169 and 22,896,422,717.25 is: 49,823,538,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,058,169 : 22,896,422,717.25 = 22,896,422,717.25 : x
  2. Step 2: Convert to fraction form
    10,522,058,169/22,896,422,717.25 = 22,896,422,717.25/x
  3. Step 3: Cross multiply
    10,522,058,169x = 22,896,422,717.25 × 22,896,422,717.25
  4. Step 4: Simplify right side
    10,522,058,169x = 524,246,173,247,001,853,952
  5. Step 5: Solve for x
    x = 524,246,173,247,001,853,952/10,522,058,169
  6. Step 6: Final answer
    x = 49,823,538,781.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.