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Finding the Third Proportional to 4,186,124 and 9,041,464

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Solution

The third proportional to 4,186,124 and 9,041,464 is: 19,528,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186,124 : 9,041,464 = 9,041,464 : x
  2. Step 2: Convert to fraction form
    4,186,124/9,041,464 = 9,041,464/x
  3. Step 3: Cross multiply
    4,186,124x = 9,041,464 × 9,041,464
  4. Step 4: Simplify right side
    4,186,124x = 81,748,071,263,296
  5. Step 5: Solve for x
    x = 81,748,071,263,296/4,186,124
  6. Step 6: Final answer
    x = 19,528,344.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.