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Finding the Third Proportional to 36,473,172 and 78,998,880

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Solution

The third proportional to 36,473,172 and 78,998,880 is: 171,107,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473,172 : 78,998,880 = 78,998,880 : x
  2. Step 2: Convert to fraction form
    36,473,172/78,998,880 = 78,998,880/x
  3. Step 3: Cross multiply
    36,473,172x = 78,998,880 × 78,998,880
  4. Step 4: Simplify right side
    36,473,172x = 6,240,823,041,254,400
  5. Step 5: Solve for x
    x = 6,240,823,041,254,400/36,473,172
  6. Step 6: Final answer
    x = 171,107,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.