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Finding the Third Proportional to 4,819,270 and 10,135,534

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Solution

The third proportional to 4,819,270 and 10,135,534 is: 21,316,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,270 : 10,135,534 = 10,135,534 : x
  2. Step 2: Convert to fraction form
    4,819,270/10,135,534 = 10,135,534/x
  3. Step 3: Cross multiply
    4,819,270x = 10,135,534 × 10,135,534
  4. Step 4: Simplify right side
    4,819,270x = 102,729,049,465,156
  5. Step 5: Solve for x
    x = 102,729,049,465,156/4,819,270
  6. Step 6: Final answer
    x = 21,316,309.21

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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.