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Finding the Third Proportional to 67,398,322 and 145,536,272

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Solution

The third proportional to 67,398,322 and 145,536,272 is: 314,263,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,398,322 : 145,536,272 = 145,536,272 : x
  2. Step 2: Convert to fraction form
    67,398,322/145,536,272 = 145,536,272/x
  3. Step 3: Cross multiply
    67,398,322x = 145,536,272 × 145,536,272
  4. Step 4: Simplify right side
    67,398,322x = 21,180,806,467,657,984
  5. Step 5: Solve for x
    x = 21,180,806,467,657,984/67,398,322
  6. Step 6: Final answer
    x = 314,263,112.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.