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Finding the Third Proportional to 7,685,598 and 16,510,863

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Solution

The third proportional to 7,685,598 and 16,510,863 is: 35,470,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685,598 : 16,510,863 = 16,510,863 : x
  2. Step 2: Convert to fraction form
    7,685,598/16,510,863 = 16,510,863/x
  3. Step 3: Cross multiply
    7,685,598x = 16,510,863 × 16,510,863
  4. Step 4: Simplify right side
    7,685,598x = 272,608,597,004,769
  5. Step 5: Solve for x
    x = 272,608,597,004,769/7,685,598
  6. Step 6: Final answer
    x = 35,470,056.72

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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.