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Finding the Third Proportional to 4,486,030 and 9,840,565

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Solution

The third proportional to 4,486,030 and 9,840,565 is: 21,586,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,030 : 9,840,565 = 9,840,565 : x
  2. Step 2: Convert to fraction form
    4,486,030/9,840,565 = 9,840,565/x
  3. Step 3: Cross multiply
    4,486,030x = 9,840,565 × 9,840,565
  4. Step 4: Simplify right side
    4,486,030x = 96,836,719,519,225
  5. Step 5: Solve for x
    x = 96,836,719,519,225/4,486,030
  6. Step 6: Final answer
    x = 21,586,284.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.