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Finding the Third Proportional to 954,745,144 and 2,056,398,356

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Solution

The third proportional to 954,745,144 and 2,056,398,356 is: 4,429,217,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,745,144 : 2,056,398,356 = 2,056,398,356 : x
  2. Step 2: Convert to fraction form
    954,745,144/2,056,398,356 = 2,056,398,356/x
  3. Step 3: Cross multiply
    954,745,144x = 2,056,398,356 × 2,056,398,356
  4. Step 4: Simplify right side
    954,745,144x = 4,228,774,198,559,502,848
  5. Step 5: Solve for x
    x = 4,228,774,198,559,502,848/954,745,144
  6. Step 6: Final answer
    x = 4,429,217,812.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.