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Finding the Third Proportional to 30,785,640 and 66,929,841

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Solution

The third proportional to 30,785,640 and 66,929,841 is: 145,509,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785,640 : 66,929,841 = 66,929,841 : x
  2. Step 2: Convert to fraction form
    30,785,640/66,929,841 = 66,929,841/x
  3. Step 3: Cross multiply
    30,785,640x = 66,929,841 × 66,929,841
  4. Step 4: Simplify right side
    30,785,640x = 4,479,603,616,285,281
  5. Step 5: Solve for x
    x = 4,479,603,616,285,281/30,785,640
  6. Step 6: Final answer
    x = 145,509,517.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.