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Finding the Third Proportional to 20,284,920 and 45,105,264

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Solution

The third proportional to 20,284,920 and 45,105,264 is: 100,295,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284,920 : 45,105,264 = 45,105,264 : x
  2. Step 2: Convert to fraction form
    20,284,920/45,105,264 = 45,105,264/x
  3. Step 3: Cross multiply
    20,284,920x = 45,105,264 × 45,105,264
  4. Step 4: Simplify right side
    20,284,920x = 2,034,484,840,509,696
  5. Step 5: Solve for x
    x = 2,034,484,840,509,696/20,284,920
  6. Step 6: Final answer
    x = 100,295,433.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.