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Finding the Third Proportional to 10,247,463 and 22,014,486

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Solution

The third proportional to 10,247,463 and 22,014,486 is: 47,293,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247,463 : 22,014,486 = 22,014,486 : x
  2. Step 2: Convert to fraction form
    10,247,463/22,014,486 = 22,014,486/x
  3. Step 3: Cross multiply
    10,247,463x = 22,014,486 × 22,014,486
  4. Step 4: Simplify right side
    10,247,463x = 484,637,593,844,196
  5. Step 5: Solve for x
    x = 484,637,593,844,196/10,247,463
  6. Step 6: Final answer
    x = 47,293,422.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.