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Finding the Third Proportional to 6,497,632 and 10,100,828

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Solution

The third proportional to 6,497,632 and 10,100,828 is: 15,702,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,632 : 10,100,828 = 10,100,828 : x
  2. Step 2: Convert to fraction form
    6,497,632/10,100,828 = 10,100,828/x
  3. Step 3: Cross multiply
    6,497,632x = 10,100,828 × 10,100,828
  4. Step 4: Simplify right side
    6,497,632x = 102,026,726,285,584
  5. Step 5: Solve for x
    x = 102,026,726,285,584/6,497,632
  6. Step 6: Final answer
    x = 15,702,139.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.