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Finding the Third Proportional to 6,342,952 and 9,042,028

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Solution

The third proportional to 6,342,952 and 9,042,028 is: 12,889,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342,952 : 9,042,028 = 9,042,028 : x
  2. Step 2: Convert to fraction form
    6,342,952/9,042,028 = 9,042,028/x
  3. Step 3: Cross multiply
    6,342,952x = 9,042,028 × 9,042,028
  4. Step 4: Simplify right side
    6,342,952x = 81,758,270,352,784
  5. Step 5: Solve for x
    x = 81,758,270,352,784/6,342,952
  6. Step 6: Final answer
    x = 12,889,624.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.