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Finding the Third Proportional to 7,674,280 and 16,509,857

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Solution

The third proportional to 7,674,280 and 16,509,857 is: 35,518,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,280 : 16,509,857 = 16,509,857 : x
  2. Step 2: Convert to fraction form
    7,674,280/16,509,857 = 16,509,857/x
  3. Step 3: Cross multiply
    7,674,280x = 16,509,857 × 16,509,857
  4. Step 4: Simplify right side
    7,674,280x = 272,575,378,160,449
  5. Step 5: Solve for x
    x = 272,575,378,160,449/7,674,280
  6. Step 6: Final answer
    x = 35,518,039.24

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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.