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Finding the Third Proportional to 8,407,948,424 and 11,826,820,428

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Solution

The third proportional to 8,407,948,424 and 11,826,820,428 is: 16,635,887,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,948,424 : 11,826,820,428 = 11,826,820,428 : x
  2. Step 2: Convert to fraction form
    8,407,948,424/11,826,820,428 = 11,826,820,428/x
  3. Step 3: Cross multiply
    8,407,948,424x = 11,826,820,428 × 11,826,820,428
  4. Step 4: Simplify right side
    8,407,948,424x = 139,873,681,436,158,099,456
  5. Step 5: Solve for x
    x = 139,873,681,436,158,099,456/8,407,948,424
  6. Step 6: Final answer
    x = 16,635,887,184.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.