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Finding the Third Proportional to 9,955,977.75 and 21,664,047

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Solution

The third proportional to 9,955,977.75 and 21,664,047 is: 47,140,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955,977.75 : 21,664,047 = 21,664,047 : x
  2. Step 2: Convert to fraction form
    9,955,977.75/21,664,047 = 21,664,047/x
  3. Step 3: Cross multiply
    9,955,977.75x = 21,664,047 × 21,664,047
  4. Step 4: Simplify right side
    9,955,977.75x = 469,330,932,418,209
  5. Step 5: Solve for x
    x = 469,330,932,418,209/9,955,977.75
  6. Step 6: Final answer
    x = 47,140,616.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.