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Finding the Third Proportional to 7,402,022 and 16,505,986

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Solution

The third proportional to 7,402,022 and 16,505,986 is: 36,807,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,022 : 16,505,986 = 16,505,986 : x
  2. Step 2: Convert to fraction form
    7,402,022/16,505,986 = 16,505,986/x
  3. Step 3: Cross multiply
    7,402,022x = 16,505,986 × 16,505,986
  4. Step 4: Simplify right side
    7,402,022x = 272,447,573,832,196
  5. Step 5: Solve for x
    x = 272,447,573,832,196/7,402,022
  6. Step 6: Final answer
    x = 36,807,182.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.