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Finding the Third Proportional to 7,862,510 and 11,532,405

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Solution

The third proportional to 7,862,510 and 11,532,405 is: 16,915,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,510 : 11,532,405 = 11,532,405 : x
  2. Step 2: Convert to fraction form
    7,862,510/11,532,405 = 11,532,405/x
  3. Step 3: Cross multiply
    7,862,510x = 11,532,405 × 11,532,405
  4. Step 4: Simplify right side
    7,862,510x = 132,996,365,084,025
  5. Step 5: Solve for x
    x = 132,996,365,084,025/7,862,510
  6. Step 6: Final answer
    x = 16,915,255.44

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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.