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Finding the Third Proportional to 4,511,047 and 9,726,315

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Solution

The third proportional to 4,511,047 and 9,726,315 is: 20,971,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,047 : 9,726,315 = 9,726,315 : x
  2. Step 2: Convert to fraction form
    4,511,047/9,726,315 = 9,726,315/x
  3. Step 3: Cross multiply
    4,511,047x = 9,726,315 × 9,726,315
  4. Step 4: Simplify right side
    4,511,047x = 94,601,203,479,225
  5. Step 5: Solve for x
    x = 94,601,203,479,225/4,511,047
  6. Step 6: Final answer
    x = 20,971,008.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.