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Finding the Third Proportional to 6,512,904 and 9,962,764

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Solution

The third proportional to 6,512,904 and 9,962,764 is: 15,240,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512,904 : 9,962,764 = 9,962,764 : x
  2. Step 2: Convert to fraction form
    6,512,904/9,962,764 = 9,962,764/x
  3. Step 3: Cross multiply
    6,512,904x = 9,962,764 × 9,962,764
  4. Step 4: Simplify right side
    6,512,904x = 99,256,666,519,696
  5. Step 5: Solve for x
    x = 99,256,666,519,696/6,512,904
  6. Step 6: Final answer
    x = 15,240,001.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.