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Finding the Third Proportional to 7,650,669 and 16,164,873

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Solution

The third proportional to 7,650,669 and 16,164,873 is: 34,154,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,669 : 16,164,873 = 16,164,873 : x
  2. Step 2: Convert to fraction form
    7,650,669/16,164,873 = 16,164,873/x
  3. Step 3: Cross multiply
    7,650,669x = 16,164,873 × 16,164,873
  4. Step 4: Simplify right side
    7,650,669x = 261,303,119,106,129
  5. Step 5: Solve for x
    x = 261,303,119,106,129/7,650,669
  6. Step 6: Final answer
    x = 34,154,283.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.