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Finding the Third Proportional to 38,648,583 and 84,241,559.25

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Solution

The third proportional to 38,648,583 and 84,241,559.25 is: 183,619,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648,583 : 84,241,559.25 = 84,241,559.25 : x
  2. Step 2: Convert to fraction form
    38,648,583/84,241,559.25 = 84,241,559.25/x
  3. Step 3: Cross multiply
    38,648,583x = 84,241,559.25 × 84,241,559.25
  4. Step 4: Simplify right side
    38,648,583x = 7,096,640,304,871,261
  5. Step 5: Solve for x
    x = 7,096,640,304,871,261/38,648,583
  6. Step 6: Final answer
    x = 183,619,676.43

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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.