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Finding the Third Proportional to 67,027,213 and 144,635,485

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Solution

The third proportional to 67,027,213 and 144,635,485 is: 312,103,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,213 : 144,635,485 = 144,635,485 : x
  2. Step 2: Convert to fraction form
    67,027,213/144,635,485 = 144,635,485/x
  3. Step 3: Cross multiply
    67,027,213x = 144,635,485 × 144,635,485
  4. Step 4: Simplify right side
    67,027,213x = 20,919,423,521,185,224
  5. Step 5: Solve for x
    x = 20,919,423,521,185,224/67,027,213
  6. Step 6: Final answer
    x = 312,103,436.57

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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.