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Finding the Third Proportional to 36,793,218 and 77,400,078

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Solution

The third proportional to 36,793,218 and 77,400,078 is: 162,822,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,793,218 : 77,400,078 = 77,400,078 : x
  2. Step 2: Convert to fraction form
    36,793,218/77,400,078 = 77,400,078/x
  3. Step 3: Cross multiply
    36,793,218x = 77,400,078 × 77,400,078
  4. Step 4: Simplify right side
    36,793,218x = 5,990,772,074,406,084
  5. Step 5: Solve for x
    x = 5,990,772,074,406,084/36,793,218
  6. Step 6: Final answer
    x = 162,822,726.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.