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Finding the Third Proportional to 4,176,362 and 9,119,740

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Solution

The third proportional to 4,176,362 and 9,119,740 is: 19,914,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,362 : 9,119,740 = 9,119,740 : x
  2. Step 2: Convert to fraction form
    4,176,362/9,119,740 = 9,119,740/x
  3. Step 3: Cross multiply
    4,176,362x = 9,119,740 × 9,119,740
  4. Step 4: Simplify right side
    4,176,362x = 83,169,657,667,600
  5. Step 5: Solve for x
    x = 83,169,657,667,600/4,176,362
  6. Step 6: Final answer
    x = 19,914,379.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.