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Finding the Third Proportional to 34,077,969 and 73,352,253

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Solution

The third proportional to 34,077,969 and 73,352,253 is: 157,889,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077,969 : 73,352,253 = 73,352,253 : x
  2. Step 2: Convert to fraction form
    34,077,969/73,352,253 = 73,352,253/x
  3. Step 3: Cross multiply
    34,077,969x = 73,352,253 × 73,352,253
  4. Step 4: Simplify right side
    34,077,969x = 5,380,553,020,176,009
  5. Step 5: Solve for x
    x = 5,380,553,020,176,009/34,077,969
  6. Step 6: Final answer
    x = 157,889,486.32

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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.