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Finding the Third Proportional to 6,009,697.50 and 14,172,294

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Solution

The third proportional to 6,009,697.50 and 14,172,294 is: 33,421,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,697.50 : 14,172,294 = 14,172,294 : x
  2. Step 2: Convert to fraction form
    6,009,697.50/14,172,294 = 14,172,294/x
  3. Step 3: Cross multiply
    6,009,697.50x = 14,172,294 × 14,172,294
  4. Step 4: Simplify right side
    6,009,697.50x = 200,853,917,222,436
  5. Step 5: Solve for x
    x = 200,853,917,222,436/6,009,697.50
  6. Step 6: Final answer
    x = 33,421,635.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.