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Finding the Third Proportional to 34,348,816 and 74,078,324

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Solution

The third proportional to 34,348,816 and 74,078,324 is: 159,760,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348,816 : 74,078,324 = 74,078,324 : x
  2. Step 2: Convert to fraction form
    34,348,816/74,078,324 = 74,078,324/x
  3. Step 3: Cross multiply
    34,348,816x = 74,078,324 × 74,078,324
  4. Step 4: Simplify right side
    34,348,816x = 5,487,598,086,648,976
  5. Step 5: Solve for x
    x = 5,487,598,086,648,976/34,348,816
  6. Step 6: Final answer
    x = 159,760,909.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.