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Finding the Third Proportional to 6,424,591 and 9,282,411

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Solution

The third proportional to 6,424,591 and 9,282,411 is: 13,411,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,591 : 9,282,411 = 9,282,411 : x
  2. Step 2: Convert to fraction form
    6,424,591/9,282,411 = 9,282,411/x
  3. Step 3: Cross multiply
    6,424,591x = 9,282,411 × 9,282,411
  4. Step 4: Simplify right side
    6,424,591x = 86,163,153,972,921
  5. Step 5: Solve for x
    x = 86,163,153,972,921/6,424,591
  6. Step 6: Final answer
    x = 13,411,461.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.