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Finding the Third Proportional to 9,468,816 and 20,709,464

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Solution

The third proportional to 9,468,816 and 20,709,464 is: 45,294,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,816 : 20,709,464 = 20,709,464 : x
  2. Step 2: Convert to fraction form
    9,468,816/20,709,464 = 20,709,464/x
  3. Step 3: Cross multiply
    9,468,816x = 20,709,464 × 20,709,464
  4. Step 4: Simplify right side
    9,468,816x = 428,881,899,167,296
  5. Step 5: Solve for x
    x = 428,881,899,167,296/9,468,816
  6. Step 6: Final answer
    x = 45,294,142.28

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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.