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Finding the Third Proportional to 4,709,394 and 10,171,653

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Solution

The third proportional to 4,709,394 and 10,171,653 is: 21,969,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,394 : 10,171,653 = 10,171,653 : x
  2. Step 2: Convert to fraction form
    4,709,394/10,171,653 = 10,171,653/x
  3. Step 3: Cross multiply
    4,709,394x = 10,171,653 × 10,171,653
  4. Step 4: Simplify right side
    4,709,394x = 103,462,524,752,409
  5. Step 5: Solve for x
    x = 103,462,524,752,409/4,709,394
  6. Step 6: Final answer
    x = 21,969,392.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.