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Finding the Third Proportional to 6,939,970 and 15,038,314

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Solution

The third proportional to 6,939,970 and 15,038,314 is: 32,586,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939,970 : 15,038,314 = 15,038,314 : x
  2. Step 2: Convert to fraction form
    6,939,970/15,038,314 = 15,038,314/x
  3. Step 3: Cross multiply
    6,939,970x = 15,038,314 × 15,038,314
  4. Step 4: Simplify right side
    6,939,970x = 226,150,887,962,596
  5. Step 5: Solve for x
    x = 226,150,887,962,596/6,939,970
  6. Step 6: Final answer
    x = 32,586,724.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.