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Finding the Third Proportional to 8,103,020 and 17,551,289

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Solution

The third proportional to 8,103,020 and 17,551,289 is: 38,016,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103,020 : 17,551,289 = 17,551,289 : x
  2. Step 2: Convert to fraction form
    8,103,020/17,551,289 = 17,551,289/x
  3. Step 3: Cross multiply
    8,103,020x = 17,551,289 × 17,551,289
  4. Step 4: Simplify right side
    8,103,020x = 308,047,745,561,521
  5. Step 5: Solve for x
    x = 308,047,745,561,521/8,103,020
  6. Step 6: Final answer
    x = 38,016,411.85

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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.