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Finding the Third Proportional to 84,927,453,374 and 131,866,061,816

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Solution

The third proportional to 84,927,453,374 and 131,866,061,816 is: 204,747,199,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,927,453,374 : 131,866,061,816 = 131,866,061,816 : x
  2. Step 2: Convert to fraction form
    84,927,453,374/131,866,061,816 = 131,866,061,816/x
  3. Step 3: Cross multiply
    84,927,453,374x = 131,866,061,816 × 131,866,061,816
  4. Step 4: Simplify right side
    84,927,453,374x = 17,388,658,258,861,132,611,584
  5. Step 5: Solve for x
    x = 17,388,658,258,861,132,611,584/84,927,453,374
  6. Step 6: Final answer
    x = 204,747,199,733.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.