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Finding the Third Proportional to 7,352,977.50 and 10,782,254.25

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Solution

The third proportional to 7,352,977.50 and 10,782,254.25 is: 15,810,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,977.50 : 10,782,254.25 = 10,782,254.25 : x
  2. Step 2: Convert to fraction form
    7,352,977.50/10,782,254.25 = 10,782,254.25/x
  3. Step 3: Cross multiply
    7,352,977.50x = 10,782,254.25 × 10,782,254.25
  4. Step 4: Simplify right side
    7,352,977.50x = 116,257,006,711,643.06
  5. Step 5: Solve for x
    x = 116,257,006,711,643.06/7,352,977.50
  6. Step 6: Final answer
    x = 15,810,874.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.