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Finding the Third Proportional to 32,987,523 and 68,237,862

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Solution

The third proportional to 32,987,523 and 68,237,862 is: 141,156,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987,523 : 68,237,862 = 68,237,862 : x
  2. Step 2: Convert to fraction form
    32,987,523/68,237,862 = 68,237,862/x
  3. Step 3: Cross multiply
    32,987,523x = 68,237,862 × 68,237,862
  4. Step 4: Simplify right side
    32,987,523x = 4,656,405,810,331,044
  5. Step 5: Solve for x
    x = 4,656,405,810,331,044/32,987,523
  6. Step 6: Final answer
    x = 141,156,576.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.