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Finding the Third Proportional to 36,429,824 and 78,913,100

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Solution

The third proportional to 36,429,824 and 78,913,100 is: 170,938,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,429,824 : 78,913,100 = 78,913,100 : x
  2. Step 2: Convert to fraction form
    36,429,824/78,913,100 = 78,913,100/x
  3. Step 3: Cross multiply
    36,429,824x = 78,913,100 × 78,913,100
  4. Step 4: Simplify right side
    36,429,824x = 6,227,277,351,610,000
  5. Step 5: Solve for x
    x = 6,227,277,351,610,000/36,429,824
  6. Step 6: Final answer
    x = 170,938,990.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.