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Finding the Third Proportional to 34,090,870 and 73,241,324

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Solution

The third proportional to 34,090,870 and 73,241,324 is: 157,352,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090,870 : 73,241,324 = 73,241,324 : x
  2. Step 2: Convert to fraction form
    34,090,870/73,241,324 = 73,241,324/x
  3. Step 3: Cross multiply
    34,090,870x = 73,241,324 × 73,241,324
  4. Step 4: Simplify right side
    34,090,870x = 5,364,291,541,272,976
  5. Step 5: Solve for x
    x = 5,364,291,541,272,976/34,090,870
  6. Step 6: Final answer
    x = 157,352,732.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.