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Finding the Third Proportional to 7,413,226 and 16,243,604

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Solution

The third proportional to 7,413,226 and 16,243,604 is: 35,592,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,226 : 16,243,604 = 16,243,604 : x
  2. Step 2: Convert to fraction form
    7,413,226/16,243,604 = 16,243,604/x
  3. Step 3: Cross multiply
    7,413,226x = 16,243,604 × 16,243,604
  4. Step 4: Simplify right side
    7,413,226x = 263,854,670,908,816
  5. Step 5: Solve for x
    x = 263,854,670,908,816/7,413,226
  6. Step 6: Final answer
    x = 35,592,422.37

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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.