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Finding the Third Proportional to 6,820,878.38 and 14,534,665.31

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Solution

The third proportional to 6,820,878.38 and 14,534,665.31 is: 30,972,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820,878.38 : 14,534,665.31 = 14,534,665.31 : x
  2. Step 2: Convert to fraction form
    6,820,878.38/14,534,665.31 = 14,534,665.31/x
  3. Step 3: Cross multiply
    6,820,878.38x = 14,534,665.31 × 14,534,665.31
  4. Step 4: Simplify right side
    6,820,878.38x = 211,256,495,746,390.72
  5. Step 5: Solve for x
    x = 211,256,495,746,390.72/6,820,878.38
  6. Step 6: Final answer
    x = 30,972,036.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.