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Finding the Third Proportional to 7,164,217 and 15,735,869

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Solution

The third proportional to 7,164,217 and 15,735,869 is: 34,563,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,217 : 15,735,869 = 15,735,869 : x
  2. Step 2: Convert to fraction form
    7,164,217/15,735,869 = 15,735,869/x
  3. Step 3: Cross multiply
    7,164,217x = 15,735,869 × 15,735,869
  4. Step 4: Simplify right side
    7,164,217x = 247,617,573,185,161
  5. Step 5: Solve for x
    x = 247,617,573,185,161/7,164,217
  6. Step 6: Final answer
    x = 34,563,103.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.