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Finding the Third Proportional to 4,486,014 and 9,840,534

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Solution

The third proportional to 4,486,014 and 9,840,534 is: 21,586,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,014 : 9,840,534 = 9,840,534 : x
  2. Step 2: Convert to fraction form
    4,486,014/9,840,534 = 9,840,534/x
  3. Step 3: Cross multiply
    4,486,014x = 9,840,534 × 9,840,534
  4. Step 4: Simplify right side
    4,486,014x = 96,836,109,405,156
  5. Step 5: Solve for x
    x = 96,836,109,405,156/4,486,014
  6. Step 6: Final answer
    x = 21,586,225.41

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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.