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Finding the Third Proportional to 9,201,540 and 19,354,968

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Solution

The third proportional to 9,201,540 and 19,354,968 is: 40,712,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,540 : 19,354,968 = 19,354,968 : x
  2. Step 2: Convert to fraction form
    9,201,540/19,354,968 = 19,354,968/x
  3. Step 3: Cross multiply
    9,201,540x = 19,354,968 × 19,354,968
  4. Step 4: Simplify right side
    9,201,540x = 374,614,786,281,024
  5. Step 5: Solve for x
    x = 374,614,786,281,024/9,201,540
  6. Step 6: Final answer
    x = 40,712,183.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.