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Finding the Third Proportional to 448,173,959,357 and 967,906,016,334

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Solution

The third proportional to 448,173,959,357 and 967,906,016,334 is: 2,090,353,615,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,173,959,357 : 967,906,016,334 = 967,906,016,334 : x
  2. Step 2: Convert to fraction form
    448,173,959,357/967,906,016,334 = 967,906,016,334/x
  3. Step 3: Cross multiply
    448,173,959,357x = 967,906,016,334 × 967,906,016,334
  4. Step 4: Simplify right side
    448,173,959,357x = 936,842,056,455,553,435,041,792
  5. Step 5: Solve for x
    x = 936,842,056,455,553,435,041,792/448,173,959,357
  6. Step 6: Final answer
    x = 2,090,353,615,813.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.