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Finding the Third Proportional to 6,424,595 and 9,282,417

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Solution

The third proportional to 6,424,595 and 9,282,417 is: 13,411,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,595 : 9,282,417 = 9,282,417 : x
  2. Step 2: Convert to fraction form
    6,424,595/9,282,417 = 9,282,417/x
  3. Step 3: Cross multiply
    6,424,595x = 9,282,417 × 9,282,417
  4. Step 4: Simplify right side
    6,424,595x = 86,163,265,361,889
  5. Step 5: Solve for x
    x = 86,163,265,361,889/6,424,595
  6. Step 6: Final answer
    x = 13,411,470.35

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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.