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Finding the Third Proportional to 38,889,874 and 83,808,943

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Solution

The third proportional to 38,889,874 and 83,808,943 is: 180,610,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,889,874 : 83,808,943 = 83,808,943 : x
  2. Step 2: Convert to fraction form
    38,889,874/83,808,943 = 83,808,943/x
  3. Step 3: Cross multiply
    38,889,874x = 83,808,943 × 83,808,943
  4. Step 4: Simplify right side
    38,889,874x = 7,023,938,926,777,249
  5. Step 5: Solve for x
    x = 7,023,938,926,777,249/38,889,874
  6. Step 6: Final answer
    x = 180,610,997.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.