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Finding the Third Proportional to 10,447,162 and 14,795,943

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Solution

The third proportional to 10,447,162 and 14,795,943 is: 20,954,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,162 : 14,795,943 = 14,795,943 : x
  2. Step 2: Convert to fraction form
    10,447,162/14,795,943 = 14,795,943/x
  3. Step 3: Cross multiply
    10,447,162x = 14,795,943 × 14,795,943
  4. Step 4: Simplify right side
    10,447,162x = 218,919,929,259,249
  5. Step 5: Solve for x
    x = 218,919,929,259,249/10,447,162
  6. Step 6: Final answer
    x = 20,954,966.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.