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Finding the Third Proportional to 27,150,034 and 37,977,579

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Solution

The third proportional to 27,150,034 and 37,977,579 is: 53,123,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150,034 : 37,977,579 = 37,977,579 : x
  2. Step 2: Convert to fraction form
    27,150,034/37,977,579 = 37,977,579/x
  3. Step 3: Cross multiply
    27,150,034x = 37,977,579 × 37,977,579
  4. Step 4: Simplify right side
    27,150,034x = 1,442,296,506,701,241
  5. Step 5: Solve for x
    x = 1,442,296,506,701,241/27,150,034
  6. Step 6: Final answer
    x = 53,123,193.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.