Home / 284,438,538,843.75-410,964,569,261.25

Finding the Third Proportional to 284,438,538,843.75 and 410,964,569,261.25

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Solution

The third proportional to 284,438,538,843.75 and 410,964,569,261.25 is: 593,772,833,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,538,843.75 : 410,964,569,261.25 = 410,964,569,261.25 : x
  2. Step 2: Convert to fraction form
    284,438,538,843.75/410,964,569,261.25 = 410,964,569,261.25/x
  3. Step 3: Cross multiply
    284,438,538,843.75x = 410,964,569,261.25 × 410,964,569,261.25
  4. Step 4: Simplify right side
    284,438,538,843.75x = 168,891,877,188,084,736,983,040
  5. Step 5: Solve for x
    x = 168,891,877,188,084,736,983,040/284,438,538,843.75
  6. Step 6: Final answer
    x = 593,772,833,578.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.