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Finding the Third Proportional to 6,720,788 and 10,205,841

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Solution

The third proportional to 6,720,788 and 10,205,841 is: 15,498,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720,788 : 10,205,841 = 10,205,841 : x
  2. Step 2: Convert to fraction form
    6,720,788/10,205,841 = 10,205,841/x
  3. Step 3: Cross multiply
    6,720,788x = 10,205,841 × 10,205,841
  4. Step 4: Simplify right side
    6,720,788x = 104,159,190,517,281
  5. Step 5: Solve for x
    x = 104,159,190,517,281/6,720,788
  6. Step 6: Final answer
    x = 15,498,062.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.