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Finding the Third Proportional to 448,173,959,368 and 967,906,016,356

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Solution

The third proportional to 448,173,959,368 and 967,906,016,356 is: 2,090,353,615,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,173,959,368 : 967,906,016,356 = 967,906,016,356 : x
  2. Step 2: Convert to fraction form
    448,173,959,368/967,906,016,356 = 967,906,016,356/x
  3. Step 3: Cross multiply
    448,173,959,368x = 967,906,016,356 × 967,906,016,356
  4. Step 4: Simplify right side
    448,173,959,368x = 936,842,056,498,141,391,224,832
  5. Step 5: Solve for x
    x = 936,842,056,498,141,391,224,832/448,173,959,368
  6. Step 6: Final answer
    x = 2,090,353,615,857.66

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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.