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Finding the Third Proportional to 7,649,796 and 16,645,452

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Solution

The third proportional to 7,649,796 and 16,645,452 is: 36,219,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,796 : 16,645,452 = 16,645,452 : x
  2. Step 2: Convert to fraction form
    7,649,796/16,645,452 = 16,645,452/x
  3. Step 3: Cross multiply
    7,649,796x = 16,645,452 × 16,645,452
  4. Step 4: Simplify right side
    7,649,796x = 277,071,072,284,304
  5. Step 5: Solve for x
    x = 277,071,072,284,304/7,649,796
  6. Step 6: Final answer
    x = 36,219,406.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.