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Finding the Third Proportional to 2,834,004.38 and 6,072,325.31

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Solution

The third proportional to 2,834,004.38 and 6,072,325.31 is: 13,010,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834,004.38 : 6,072,325.31 = 6,072,325.31 : x
  2. Step 2: Convert to fraction form
    2,834,004.38/6,072,325.31 = 6,072,325.31/x
  3. Step 3: Cross multiply
    2,834,004.38x = 6,072,325.31 × 6,072,325.31
  4. Step 4: Simplify right side
    2,834,004.38x = 36,873,134,700,828.22
  5. Step 5: Solve for x
    x = 36,873,134,700,828.22/2,834,004.38
  6. Step 6: Final answer
    x = 13,010,966.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.