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Finding the Third Proportional to 36,112,357 and 78,114,871

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Solution

The third proportional to 36,112,357 and 78,114,871 is: 168,970,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,112,357 : 78,114,871 = 78,114,871 : x
  2. Step 2: Convert to fraction form
    36,112,357/78,114,871 = 78,114,871/x
  3. Step 3: Cross multiply
    36,112,357x = 78,114,871 × 78,114,871
  4. Step 4: Simplify right side
    36,112,357x = 6,101,933,071,346,641
  5. Step 5: Solve for x
    x = 6,101,933,071,346,641/36,112,357
  6. Step 6: Final answer
    x = 168,970,778.38

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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.