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Finding the Third Proportional to 8,223,220 and 17,671,160

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Solution

The third proportional to 8,223,220 and 17,671,160 is: 37,974,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223,220 : 17,671,160 = 17,671,160 : x
  2. Step 2: Convert to fraction form
    8,223,220/17,671,160 = 17,671,160/x
  3. Step 3: Cross multiply
    8,223,220x = 17,671,160 × 17,671,160
  4. Step 4: Simplify right side
    8,223,220x = 312,269,895,745,600
  5. Step 5: Solve for x
    x = 312,269,895,745,600/8,223,220
  6. Step 6: Final answer
    x = 37,974,162.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.