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Finding the Third Proportional to 7,649,813 and 16,645,486

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Solution

The third proportional to 7,649,813 and 16,645,486 is: 36,219,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,813 : 16,645,486 = 16,645,486 : x
  2. Step 2: Convert to fraction form
    7,649,813/16,645,486 = 16,645,486/x
  3. Step 3: Cross multiply
    7,649,813x = 16,645,486 × 16,645,486
  4. Step 4: Simplify right side
    7,649,813x = 277,072,204,176,196
  5. Step 5: Solve for x
    x = 277,072,204,176,196/7,649,813
  6. Step 6: Final answer
    x = 36,219,474.15

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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.