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Finding the Third Proportional to 7,413,051 and 16,243,278

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Solution

The third proportional to 7,413,051 and 16,243,278 is: 35,591,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,051 : 16,243,278 = 16,243,278 : x
  2. Step 2: Convert to fraction form
    7,413,051/16,243,278 = 16,243,278/x
  3. Step 3: Cross multiply
    7,413,051x = 16,243,278 × 16,243,278
  4. Step 4: Simplify right side
    7,413,051x = 263,844,080,185,284
  5. Step 5: Solve for x
    x = 263,844,080,185,284/7,413,051
  6. Step 6: Final answer
    x = 35,591,833.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.