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Finding the Third Proportional to 7,457,216 and 16,337,264

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Solution

The third proportional to 7,457,216 and 16,337,264 is: 35,791,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,216 : 16,337,264 = 16,337,264 : x
  2. Step 2: Convert to fraction form
    7,457,216/16,337,264 = 16,337,264/x
  3. Step 3: Cross multiply
    7,457,216x = 16,337,264 × 16,337,264
  4. Step 4: Simplify right side
    7,457,216x = 266,906,195,005,696
  5. Step 5: Solve for x
    x = 266,906,195,005,696/7,457,216
  6. Step 6: Final answer
    x = 35,791,667.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.