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Finding the Third Proportional to 3,056,427,258 and 4,587,875,892

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Solution

The third proportional to 3,056,427,258 and 4,587,875,892 is: 6,886,669,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,427,258 : 4,587,875,892 = 4,587,875,892 : x
  2. Step 2: Convert to fraction form
    3,056,427,258/4,587,875,892 = 4,587,875,892/x
  3. Step 3: Cross multiply
    3,056,427,258x = 4,587,875,892 × 4,587,875,892
  4. Step 4: Simplify right side
    3,056,427,258x = 21,048,605,200,394,797,056
  5. Step 5: Solve for x
    x = 21,048,605,200,394,797,056/3,056,427,258
  6. Step 6: Final answer
    x = 6,886,669,769.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.