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Finding the Third Proportional to 36,690,946 and 78,634,086

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Solution

The third proportional to 36,690,946 and 78,634,086 is: 168,524,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,690,946 : 78,634,086 = 78,634,086 : x
  2. Step 2: Convert to fraction form
    36,690,946/78,634,086 = 78,634,086/x
  3. Step 3: Cross multiply
    36,690,946x = 78,634,086 × 78,634,086
  4. Step 4: Simplify right side
    36,690,946x = 6,183,319,481,055,396
  5. Step 5: Solve for x
    x = 6,183,319,481,055,396/36,690,946
  6. Step 6: Final answer
    x = 168,524,395.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.