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Finding the Third Proportional to 37,029,864,503 and 81,134,188,492

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Solution

The third proportional to 37,029,864,503 and 81,134,188,492 is: 177,768,853,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029,864,503 : 81,134,188,492 = 81,134,188,492 : x
  2. Step 2: Convert to fraction form
    37,029,864,503/81,134,188,492 = 81,134,188,492/x
  3. Step 3: Cross multiply
    37,029,864,503x = 81,134,188,492 × 81,134,188,492
  4. Step 4: Simplify right side
    37,029,864,503x = 6,582,756,542,255,384,756,224
  5. Step 5: Solve for x
    x = 6,582,756,542,255,384,756,224/37,029,864,503
  6. Step 6: Final answer
    x = 177,768,853,075.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.