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Finding the Third Proportional to 5,205,314 and 7,777,341

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Solution

The third proportional to 5,205,314 and 7,777,341 is: 11,620,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,314 : 7,777,341 = 7,777,341 : x
  2. Step 2: Convert to fraction form
    5,205,314/7,777,341 = 7,777,341/x
  3. Step 3: Cross multiply
    5,205,314x = 7,777,341 × 7,777,341
  4. Step 4: Simplify right side
    5,205,314x = 60,487,033,030,281
  5. Step 5: Solve for x
    x = 60,487,033,030,281/5,205,314
  6. Step 6: Final answer
    x = 11,620,246.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.