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Finding the Third Proportional to 6,424,589.25 and 9,282,407.63

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Solution

The third proportional to 6,424,589.25 and 9,282,407.63 is: 13,411,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,589.25 : 9,282,407.63 = 9,282,407.63 : x
  2. Step 2: Convert to fraction form
    6,424,589.25/9,282,407.63 = 9,282,407.63/x
  3. Step 3: Cross multiply
    6,424,589.25x = 9,282,407.63 × 9,282,407.63
  4. Step 4: Simplify right side
    6,424,589.25x = 86,163,091,316,658.14
  5. Step 5: Solve for x
    x = 86,163,091,316,658.14/6,424,589.25
  6. Step 6: Final answer
    x = 13,411,455.26

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