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Finding the Third Proportional to 4,583,708 and 9,713,821

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Solution

The third proportional to 4,583,708 and 9,713,821 is: 20,585,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,708 : 9,713,821 = 9,713,821 : x
  2. Step 2: Convert to fraction form
    4,583,708/9,713,821 = 9,713,821/x
  3. Step 3: Cross multiply
    4,583,708x = 9,713,821 × 9,713,821
  4. Step 4: Simplify right side
    4,583,708x = 94,358,318,420,041
  5. Step 5: Solve for x
    x = 94,358,318,420,041/4,583,708
  6. Step 6: Final answer
    x = 20,585,586.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.