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Finding the Third Proportional to 10,462,171 and 22,168,928

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Solution

The third proportional to 10,462,171 and 22,168,928 is: 46,975,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462,171 : 22,168,928 = 22,168,928 : x
  2. Step 2: Convert to fraction form
    10,462,171/22,168,928 = 22,168,928/x
  3. Step 3: Cross multiply
    10,462,171x = 22,168,928 × 22,168,928
  4. Step 4: Simplify right side
    10,462,171x = 491,461,368,669,184
  5. Step 5: Solve for x
    x = 491,461,368,669,184/10,462,171
  6. Step 6: Final answer
    x = 46,975,084.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.