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Finding the Third Proportional to 5,232,132 and 7,641,162

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Solution

The third proportional to 5,232,132 and 7,641,162 is: 11,159,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,132 : 7,641,162 = 7,641,162 : x
  2. Step 2: Convert to fraction form
    5,232,132/7,641,162 = 7,641,162/x
  3. Step 3: Cross multiply
    5,232,132x = 7,641,162 × 7,641,162
  4. Step 4: Simplify right side
    5,232,132x = 58,387,356,710,244
  5. Step 5: Solve for x
    x = 58,387,356,710,244/5,232,132
  6. Step 6: Final answer
    x = 11,159,381.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.