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Finding the Third Proportional to 7,820,616 and 16,356,264

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Solution

The third proportional to 7,820,616 and 16,356,264 is: 34,207,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,616 : 16,356,264 = 16,356,264 : x
  2. Step 2: Convert to fraction form
    7,820,616/16,356,264 = 16,356,264/x
  3. Step 3: Cross multiply
    7,820,616x = 16,356,264 × 16,356,264
  4. Step 4: Simplify right side
    7,820,616x = 267,527,372,037,696
  5. Step 5: Solve for x
    x = 267,527,372,037,696/7,820,616
  6. Step 6: Final answer
    x = 34,207,966.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.