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Finding the Third Proportional to 5,102,030.25 and 7,734,025.13

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Solution

The third proportional to 5,102,030.25 and 7,734,025.13 is: 11,723,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,030.25 : 7,734,025.13 = 7,734,025.13 : x
  2. Step 2: Convert to fraction form
    5,102,030.25/7,734,025.13 = 7,734,025.13/x
  3. Step 3: Cross multiply
    5,102,030.25x = 7,734,025.13 × 7,734,025.13
  4. Step 4: Simplify right side
    5,102,030.25x = 59,815,144,634,131.27
  5. Step 5: Solve for x
    x = 59,815,144,634,131.27/5,102,030.25
  6. Step 6: Final answer
    x = 11,723,792.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.