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Finding the Third Proportional to 7,402,026 and 16,505,988

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Solution

The third proportional to 7,402,026 and 16,505,988 is: 36,807,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,026 : 16,505,988 = 16,505,988 : x
  2. Step 2: Convert to fraction form
    7,402,026/16,505,988 = 16,505,988/x
  3. Step 3: Cross multiply
    7,402,026x = 16,505,988 × 16,505,988
  4. Step 4: Simplify right side
    7,402,026x = 272,447,639,856,144
  5. Step 5: Solve for x
    x = 272,447,639,856,144/7,402,026
  6. Step 6: Final answer
    x = 36,807,171.42

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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.