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Finding the Third Proportional to 5,931,394,875 and 12,781,359,990

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Solution

The third proportional to 5,931,394,875 and 12,781,359,990 is: 27,542,115,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931,394,875 : 12,781,359,990 = 12,781,359,990 : x
  2. Step 2: Convert to fraction form
    5,931,394,875/12,781,359,990 = 12,781,359,990/x
  3. Step 3: Cross multiply
    5,931,394,875x = 12,781,359,990 × 12,781,359,990
  4. Step 4: Simplify right side
    5,931,394,875x = 163,363,163,193,972,785,152
  5. Step 5: Solve for x
    x = 163,363,163,193,972,785,152/5,931,394,875
  6. Step 6: Final answer
    x = 27,542,115,579.34

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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.