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Finding the Third Proportional to 8,103,021 and 17,551,291.50

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Solution

The third proportional to 8,103,021 and 17,551,291.50 is: 38,016,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103,021 : 17,551,291.50 = 17,551,291.50 : x
  2. Step 2: Convert to fraction form
    8,103,021/17,551,291.50 = 17,551,291.50/x
  3. Step 3: Cross multiply
    8,103,021x = 17,551,291.50 × 17,551,291.50
  4. Step 4: Simplify right side
    8,103,021x = 308,047,833,317,972.25
  5. Step 5: Solve for x
    x = 308,047,833,317,972.25/8,103,021
  6. Step 6: Final answer
    x = 38,016,417.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.