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Finding the Third Proportional to 5,205,262.50 and 7,777,275.75

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Solution

The third proportional to 5,205,262.50 and 7,777,275.75 is: 11,620,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,262.50 : 7,777,275.75 = 7,777,275.75 : x
  2. Step 2: Convert to fraction form
    5,205,262.50/7,777,275.75 = 7,777,275.75/x
  3. Step 3: Cross multiply
    5,205,262.50x = 7,777,275.75 × 7,777,275.75
  4. Step 4: Simplify right side
    5,205,262.50x = 60,486,018,091,538.06
  5. Step 5: Solve for x
    x = 60,486,018,091,538.06/5,205,262.50
  6. Step 6: Final answer
    x = 11,620,166.72

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Why These Related Problems?

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