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Finding the Third Proportional to 51,869,998 and 120,069,689

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Solution

The third proportional to 51,869,998 and 120,069,689 is: 277,939,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869,998 : 120,069,689 = 120,069,689 : x
  2. Step 2: Convert to fraction form
    51,869,998/120,069,689 = 120,069,689/x
  3. Step 3: Cross multiply
    51,869,998x = 120,069,689 × 120,069,689
  4. Step 4: Simplify right side
    51,869,998x = 14,416,730,216,556,720
  5. Step 5: Solve for x
    x = 14,416,730,216,556,720/51,869,998
  6. Step 6: Final answer
    x = 277,939,671.73

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.