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Finding the Third Proportional to 4,339,864 and 9,506,464

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Solution

The third proportional to 4,339,864 and 9,506,464 is: 20,823,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339,864 : 9,506,464 = 9,506,464 : x
  2. Step 2: Convert to fraction form
    4,339,864/9,506,464 = 9,506,464/x
  3. Step 3: Cross multiply
    4,339,864x = 9,506,464 × 9,506,464
  4. Step 4: Simplify right side
    4,339,864x = 90,372,857,783,296
  5. Step 5: Solve for x
    x = 90,372,857,783,296/4,339,864
  6. Step 6: Final answer
    x = 20,823,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.