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Finding the Third Proportional to 36,778,534 and 78,040,146

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Solution

The third proportional to 36,778,534 and 78,040,146 is: 165,592,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778,534 : 78,040,146 = 78,040,146 : x
  2. Step 2: Convert to fraction form
    36,778,534/78,040,146 = 78,040,146/x
  3. Step 3: Cross multiply
    36,778,534x = 78,040,146 × 78,040,146
  4. Step 4: Simplify right side
    36,778,534x = 6,090,264,387,701,316
  5. Step 5: Solve for x
    x = 6,090,264,387,701,316/36,778,534
  6. Step 6: Final answer
    x = 165,592,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.