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Finding the Third Proportional to 6,316,192.69 and 9,032,446.69

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Solution

The third proportional to 6,316,192.69 and 9,032,446.69 is: 12,916,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316,192.69 : 9,032,446.69 = 9,032,446.69 : x
  2. Step 2: Convert to fraction form
    6,316,192.69/9,032,446.69 = 9,032,446.69/x
  3. Step 3: Cross multiply
    6,316,192.69x = 9,032,446.69 × 9,032,446.69
  4. Step 4: Simplify right side
    6,316,192.69x = 81,585,093,162,529.72
  5. Step 5: Solve for x
    x = 81,585,093,162,529.72/6,316,192.69
  6. Step 6: Final answer
    x = 12,916,815.11

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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.