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Finding the Third Proportional to 6,901,139.25 and 14,516,193.52

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Solution

The third proportional to 6,901,139.25 and 14,516,193.52 is: 30,534,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901,139.25 : 14,516,193.52 = 14,516,193.52 : x
  2. Step 2: Convert to fraction form
    6,901,139.25/14,516,193.52 = 14,516,193.52/x
  3. Step 3: Cross multiply
    6,901,139.25x = 14,516,193.52 × 14,516,193.52
  4. Step 4: Simplify right side
    6,901,139.25x = 210,719,874,183,073.31
  5. Step 5: Solve for x
    x = 210,719,874,183,073.31/6,901,139.25
  6. Step 6: Final answer
    x = 30,534,070.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.