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Finding the Third Proportional to 4,710,218 and 7,470,653

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Solution

The third proportional to 4,710,218 and 7,470,653 is: 11,848,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710,218 : 7,470,653 = 7,470,653 : x
  2. Step 2: Convert to fraction form
    4,710,218/7,470,653 = 7,470,653/x
  3. Step 3: Cross multiply
    4,710,218x = 7,470,653 × 7,470,653
  4. Step 4: Simplify right side
    4,710,218x = 55,810,656,246,409
  5. Step 5: Solve for x
    x = 55,810,656,246,409/4,710,218
  6. Step 6: Final answer
    x = 11,848,847.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.