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Finding the Third Proportional to 14,600,509 and 33,799,232

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Solution

The third proportional to 14,600,509 and 33,799,232 is: 78,243,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600,509 : 33,799,232 = 33,799,232 : x
  2. Step 2: Convert to fraction form
    14,600,509/33,799,232 = 33,799,232/x
  3. Step 3: Cross multiply
    14,600,509x = 33,799,232 × 33,799,232
  4. Step 4: Simplify right side
    14,600,509x = 1,142,388,083,789,824
  5. Step 5: Solve for x
    x = 1,142,388,083,789,824/14,600,509
  6. Step 6: Final answer
    x = 78,243,031.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.