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Finding the Third Proportional to 214,804,947,448 and 336,965,573,224

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Solution

The third proportional to 214,804,947,448 and 336,965,573,224 is: 528,599,545,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,804,947,448 : 336,965,573,224 = 336,965,573,224 : x
  2. Step 2: Convert to fraction form
    214,804,947,448/336,965,573,224 = 336,965,573,224/x
  3. Step 3: Cross multiply
    214,804,947,448x = 336,965,573,224 × 336,965,573,224
  4. Step 4: Simplify right side
    214,804,947,448x = 113,545,797,538,178,905,669,632
  5. Step 5: Solve for x
    x = 113,545,797,538,178,905,669,632/214,804,947,448
  6. Step 6: Final answer
    x = 528,599,545,248.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.