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Finding the Third Proportional to 7,908,214 and 17,266,220

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Solution

The third proportional to 7,908,214 and 17,266,220 is: 37,697,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908,214 : 17,266,220 = 17,266,220 : x
  2. Step 2: Convert to fraction form
    7,908,214/17,266,220 = 17,266,220/x
  3. Step 3: Cross multiply
    7,908,214x = 17,266,220 × 17,266,220
  4. Step 4: Simplify right side
    7,908,214x = 298,122,353,088,400
  5. Step 5: Solve for x
    x = 298,122,353,088,400/7,908,214
  6. Step 6: Final answer
    x = 37,697,810.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.