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Finding the Third Proportional to 4,510,334 and 9,463,534

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Solution

The third proportional to 4,510,334 and 9,463,534 is: 19,856,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,334 : 9,463,534 = 9,463,534 : x
  2. Step 2: Convert to fraction form
    4,510,334/9,463,534 = 9,463,534/x
  3. Step 3: Cross multiply
    4,510,334x = 9,463,534 × 9,463,534
  4. Step 4: Simplify right side
    4,510,334x = 89,558,475,769,156
  5. Step 5: Solve for x
    x = 89,558,475,769,156/4,510,334
  6. Step 6: Final answer
    x = 19,856,284.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.