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Finding the Third Proportional to 7,649,814 and 16,645,488

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Solution

The third proportional to 7,649,814 and 16,645,488 is: 36,219,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,814 : 16,645,488 = 16,645,488 : x
  2. Step 2: Convert to fraction form
    7,649,814/16,645,488 = 16,645,488/x
  3. Step 3: Cross multiply
    7,649,814x = 16,645,488 × 16,645,488
  4. Step 4: Simplify right side
    7,649,814x = 277,072,270,758,144
  5. Step 5: Solve for x
    x = 277,072,270,758,144/7,649,814
  6. Step 6: Final answer
    x = 36,219,478.12

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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.