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Finding the Third Proportional to 2,857,998.94 and 6,130,434.38

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Solution

The third proportional to 2,857,998.94 and 6,130,434.38 is: 13,149,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,998.94 : 6,130,434.38 = 6,130,434.38 : x
  2. Step 2: Convert to fraction form
    2,857,998.94/6,130,434.38 = 6,130,434.38/x
  3. Step 3: Cross multiply
    2,857,998.94x = 6,130,434.38 × 6,130,434.38
  4. Step 4: Simplify right side
    2,857,998.94x = 37,582,225,626,181.64
  5. Step 5: Solve for x
    x = 37,582,225,626,181.64/2,857,998.94
  6. Step 6: Final answer
    x = 13,149,838.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.