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Finding the Third Proportional to 7,413,050 and 16,243,276

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Solution

The third proportional to 7,413,050 and 16,243,276 is: 35,591,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,050 : 16,243,276 = 16,243,276 : x
  2. Step 2: Convert to fraction form
    7,413,050/16,243,276 = 16,243,276/x
  3. Step 3: Cross multiply
    7,413,050x = 16,243,276 × 16,243,276
  4. Step 4: Simplify right side
    7,413,050x = 263,844,015,212,176
  5. Step 5: Solve for x
    x = 263,844,015,212,176/7,413,050
  6. Step 6: Final answer
    x = 35,591,829.98

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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.