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Finding the Third Proportional to 36,191,464 and 78,885,968

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Solution

The third proportional to 36,191,464 and 78,885,968 is: 171,946,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,191,464 : 78,885,968 = 78,885,968 : x
  2. Step 2: Convert to fraction form
    36,191,464/78,885,968 = 78,885,968/x
  3. Step 3: Cross multiply
    36,191,464x = 78,885,968 × 78,885,968
  4. Step 4: Simplify right side
    36,191,464x = 6,222,995,947,297,024
  5. Step 5: Solve for x
    x = 6,222,995,947,297,024/36,191,464
  6. Step 6: Final answer
    x = 171,946,510.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.