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Finding the Third Proportional to 6,084,918 and 9,108,417

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Solution

The third proportional to 6,084,918 and 9,108,417 is: 13,634,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084,918 : 9,108,417 = 9,108,417 : x
  2. Step 2: Convert to fraction form
    6,084,918/9,108,417 = 9,108,417/x
  3. Step 3: Cross multiply
    6,084,918x = 9,108,417 × 9,108,417
  4. Step 4: Simplify right side
    6,084,918x = 82,963,260,245,889
  5. Step 5: Solve for x
    x = 82,963,260,245,889/6,084,918
  6. Step 6: Final answer
    x = 13,634,244.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.