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Finding the Third Proportional to 6,498,888 and 9,085,377

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Solution

The third proportional to 6,498,888 and 9,085,377 is: 12,701,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,888 : 9,085,377 = 9,085,377 : x
  2. Step 2: Convert to fraction form
    6,498,888/9,085,377 = 9,085,377/x
  3. Step 3: Cross multiply
    6,498,888x = 9,085,377 × 9,085,377
  4. Step 4: Simplify right side
    6,498,888x = 82,544,075,232,129
  5. Step 5: Solve for x
    x = 82,544,075,232,129/6,498,888
  6. Step 6: Final answer
    x = 12,701,261.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.