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Finding the Third Proportional to 9,468,708 and 20,708,832

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Solution

The third proportional to 9,468,708 and 20,708,832 is: 45,291,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,708 : 20,708,832 = 20,708,832 : x
  2. Step 2: Convert to fraction form
    9,468,708/20,708,832 = 20,708,832/x
  3. Step 3: Cross multiply
    9,468,708x = 20,708,832 × 20,708,832
  4. Step 4: Simplify right side
    9,468,708x = 428,855,722,804,224
  5. Step 5: Solve for x
    x = 428,855,722,804,224/9,468,708
  6. Step 6: Final answer
    x = 45,291,894.40

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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.