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Finding the Third Proportional to 7,413,054 and 16,243,284

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Solution

The third proportional to 7,413,054 and 16,243,284 is: 35,591,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,054 : 16,243,284 = 16,243,284 : x
  2. Step 2: Convert to fraction form
    7,413,054/16,243,284 = 16,243,284/x
  3. Step 3: Cross multiply
    7,413,054x = 16,243,284 × 16,243,284
  4. Step 4: Simplify right side
    7,413,054x = 263,844,275,104,656
  5. Step 5: Solve for x
    x = 263,844,275,104,656/7,413,054
  6. Step 6: Final answer
    x = 35,591,845.83

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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.