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Finding the Third Proportional to 7,908,216 and 17,266,224

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Solution

The third proportional to 7,908,216 and 17,266,224 is: 37,697,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908,216 : 17,266,224 = 17,266,224 : x
  2. Step 2: Convert to fraction form
    7,908,216/17,266,224 = 17,266,224/x
  3. Step 3: Cross multiply
    7,908,216x = 17,266,224 × 17,266,224
  4. Step 4: Simplify right side
    7,908,216x = 298,122,491,218,176
  5. Step 5: Solve for x
    x = 298,122,491,218,176/7,908,216
  6. Step 6: Final answer
    x = 37,697,818.47

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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.