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Finding the Third Proportional to 36,202,072 and 78,069,008

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Solution

The third proportional to 36,202,072 and 78,069,008 is: 168,354,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,072 : 78,069,008 = 78,069,008 : x
  2. Step 2: Convert to fraction form
    36,202,072/78,069,008 = 78,069,008/x
  3. Step 3: Cross multiply
    36,202,072x = 78,069,008 × 78,069,008
  4. Step 4: Simplify right side
    36,202,072x = 6,094,770,010,104,064
  5. Step 5: Solve for x
    x = 6,094,770,010,104,064/36,202,072
  6. Step 6: Final answer
    x = 168,354,176.25

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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.