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Finding the Third Proportional to 7,413,102 and 16,243,380

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Solution

The third proportional to 7,413,102 and 16,243,380 is: 35,592,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,102 : 16,243,380 = 16,243,380 : x
  2. Step 2: Convert to fraction form
    7,413,102/16,243,380 = 16,243,380/x
  3. Step 3: Cross multiply
    7,413,102x = 16,243,380 × 16,243,380
  4. Step 4: Simplify right side
    7,413,102x = 263,847,393,824,400
  5. Step 5: Solve for x
    x = 263,847,393,824,400/7,413,102
  6. Step 6: Final answer
    x = 35,592,036.08

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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.