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Finding the Third Proportional to 30,640,264 and 65,651,764

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Solution

The third proportional to 30,640,264 and 65,651,764 is: 140,669,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640,264 : 65,651,764 = 65,651,764 : x
  2. Step 2: Convert to fraction form
    30,640,264/65,651,764 = 65,651,764/x
  3. Step 3: Cross multiply
    30,640,264x = 65,651,764 × 65,651,764
  4. Step 4: Simplify right side
    30,640,264x = 4,310,154,116,311,696
  5. Step 5: Solve for x
    x = 4,310,154,116,311,696/30,640,264
  6. Step 6: Final answer
    x = 140,669,614.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.