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Finding the Third Proportional to 954,745,114 and 2,056,398,308

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Solution

The third proportional to 954,745,114 and 2,056,398,308 is: 4,429,217,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,745,114 : 2,056,398,308 = 2,056,398,308 : x
  2. Step 2: Convert to fraction form
    954,745,114/2,056,398,308 = 2,056,398,308/x
  3. Step 3: Cross multiply
    954,745,114x = 2,056,398,308 × 2,056,398,308
  4. Step 4: Simplify right side
    954,745,114x = 4,228,774,001,145,263,104
  5. Step 5: Solve for x
    x = 4,228,774,001,145,263,104/954,745,114
  6. Step 6: Final answer
    x = 4,429,217,745.28

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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.