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Finding the Third Proportional to 34,515,272 and 74,897,464

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Solution

The third proportional to 34,515,272 and 74,897,464 is: 162,526,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,515,272 : 74,897,464 = 74,897,464 : x
  2. Step 2: Convert to fraction form
    34,515,272/74,897,464 = 74,897,464/x
  3. Step 3: Cross multiply
    34,515,272x = 74,897,464 × 74,897,464
  4. Step 4: Simplify right side
    34,515,272x = 5,609,630,113,631,296
  5. Step 5: Solve for x
    x = 5,609,630,113,631,296/34,515,272
  6. Step 6: Final answer
    x = 162,526,029.45

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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.