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Finding the Third Proportional to 34,033,784 and 74,679,598

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Solution

The third proportional to 34,033,784 and 74,679,598 is: 163,867,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033,784 : 74,679,598 = 74,679,598 : x
  2. Step 2: Convert to fraction form
    34,033,784/74,679,598 = 74,679,598/x
  3. Step 3: Cross multiply
    34,033,784x = 74,679,598 × 74,679,598
  4. Step 4: Simplify right side
    34,033,784x = 5,577,042,357,441,604
  5. Step 5: Solve for x
    x = 5,577,042,357,441,604/34,033,784
  6. Step 6: Final answer
    x = 163,867,830.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.