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Finding the Third Proportional to 6,219,998 and 9,282,024

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Solution

The third proportional to 6,219,998 and 9,282,024 is: 13,851,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219,998 : 9,282,024 = 9,282,024 : x
  2. Step 2: Convert to fraction form
    6,219,998/9,282,024 = 9,282,024/x
  3. Step 3: Cross multiply
    6,219,998x = 9,282,024 × 9,282,024
  4. Step 4: Simplify right side
    6,219,998x = 86,155,969,536,576
  5. Step 5: Solve for x
    x = 86,155,969,536,576/6,219,998
  6. Step 6: Final answer
    x = 13,851,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.