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Finding the Third Proportional to 9,909,081 and 21,766,772.25

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Solution

The third proportional to 9,909,081 and 21,766,772.25 is: 47,813,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,081 : 21,766,772.25 = 21,766,772.25 : x
  2. Step 2: Convert to fraction form
    9,909,081/21,766,772.25 = 21,766,772.25/x
  3. Step 3: Cross multiply
    9,909,081x = 21,766,772.25 × 21,766,772.25
  4. Step 4: Simplify right side
    9,909,081x = 473,792,374,183,370.06
  5. Step 5: Solve for x
    x = 473,792,374,183,370.06/9,909,081
  6. Step 6: Final answer
    x = 47,813,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.