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Finding the Third Proportional to 34,266,804 and 74,784,351

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Solution

The third proportional to 34,266,804 and 74,784,351 is: 163,210,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266,804 : 74,784,351 = 74,784,351 : x
  2. Step 2: Convert to fraction form
    34,266,804/74,784,351 = 74,784,351/x
  3. Step 3: Cross multiply
    34,266,804x = 74,784,351 × 74,784,351
  4. Step 4: Simplify right side
    34,266,804x = 5,592,699,154,491,201
  5. Step 5: Solve for x
    x = 5,592,699,154,491,201/34,266,804
  6. Step 6: Final answer
    x = 163,210,410.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.