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Finding the Third Proportional to 4,176,159 and 9,119,334

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Solution

The third proportional to 4,176,159 and 9,119,334 is: 19,913,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,159 : 9,119,334 = 9,119,334 : x
  2. Step 2: Convert to fraction form
    4,176,159/9,119,334 = 9,119,334/x
  3. Step 3: Cross multiply
    4,176,159x = 9,119,334 × 9,119,334
  4. Step 4: Simplify right side
    4,176,159x = 83,162,252,603,556
  5. Step 5: Solve for x
    x = 83,162,252,603,556/4,176,159
  6. Step 6: Final answer
    x = 19,913,574.32

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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.