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Finding the Third Proportional to 34,711,839 and 74,036,884.50

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Solution

The third proportional to 34,711,839 and 74,036,884.50 is: 157,913,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711,839 : 74,036,884.50 = 74,036,884.50 : x
  2. Step 2: Convert to fraction form
    34,711,839/74,036,884.50 = 74,036,884.50/x
  3. Step 3: Cross multiply
    34,711,839x = 74,036,884.50 × 74,036,884.50
  4. Step 4: Simplify right side
    34,711,839x = 5,481,460,266,466,340
  5. Step 5: Solve for x
    x = 5,481,460,266,466,340/34,711,839
  6. Step 6: Final answer
    x = 157,913,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.