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Finding the Third Proportional to 36,834,225 and 61,386,678

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Solution

The third proportional to 36,834,225 and 61,386,678 is: 102,304,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834,225 : 61,386,678 = 61,386,678 : x
  2. Step 2: Convert to fraction form
    36,834,225/61,386,678 = 61,386,678/x
  3. Step 3: Cross multiply
    36,834,225x = 61,386,678 × 61,386,678
  4. Step 4: Simplify right side
    36,834,225x = 3,768,324,235,875,684
  5. Step 5: Solve for x
    x = 3,768,324,235,875,684/36,834,225
  6. Step 6: Final answer
    x = 102,304,968.70

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.