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Finding the Third Proportional to 386,965,392 and 841,954,024

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Solution

The third proportional to 386,965,392 and 841,954,024 is: 1,831,912,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,965,392 : 841,954,024 = 841,954,024 : x
  2. Step 2: Convert to fraction form
    386,965,392/841,954,024 = 841,954,024/x
  3. Step 3: Cross multiply
    386,965,392x = 841,954,024 × 841,954,024
  4. Step 4: Simplify right side
    386,965,392x = 708,886,578,529,792,512
  5. Step 5: Solve for x
    x = 708,886,578,529,792,512/386,965,392
  6. Step 6: Final answer
    x = 1,831,912,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.