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Finding the Third Proportional to 361,211,906 and 791,432,410

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Solution

The third proportional to 361,211,906 and 791,432,410 is: 1,734,065,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,211,906 : 791,432,410 = 791,432,410 : x
  2. Step 2: Convert to fraction form
    361,211,906/791,432,410 = 791,432,410/x
  3. Step 3: Cross multiply
    361,211,906x = 791,432,410 × 791,432,410
  4. Step 4: Simplify right side
    361,211,906x = 626,365,259,598,408,064
  5. Step 5: Solve for x
    x = 626,365,259,598,408,064/361,211,906
  6. Step 6: Final answer
    x = 1,734,065,929.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.