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Finding the Third Proportional to 9,465,884 and 13,536,324

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Solution

The third proportional to 9,465,884 and 13,536,324 is: 19,357,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465,884 : 13,536,324 = 13,536,324 : x
  2. Step 2: Convert to fraction form
    9,465,884/13,536,324 = 13,536,324/x
  3. Step 3: Cross multiply
    9,465,884x = 13,536,324 × 13,536,324
  4. Step 4: Simplify right side
    9,465,884x = 183,232,067,432,976
  5. Step 5: Solve for x
    x = 183,232,067,432,976/9,465,884
  6. Step 6: Final answer
    x = 19,357,100.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.