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Finding the Third Proportional to 7,649,812 and 16,645,484

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Solution

The third proportional to 7,649,812 and 16,645,484 is: 36,219,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,812 : 16,645,484 = 16,645,484 : x
  2. Step 2: Convert to fraction form
    7,649,812/16,645,484 = 16,645,484/x
  3. Step 3: Cross multiply
    7,649,812x = 16,645,484 × 16,645,484
  4. Step 4: Simplify right side
    7,649,812x = 277,072,137,594,256
  5. Step 5: Solve for x
    x = 277,072,137,594,256/7,649,812
  6. Step 6: Final answer
    x = 36,219,470.18

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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.