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Finding the Third Proportional to 6,146,836 and 13,406,105.50

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Solution

The third proportional to 6,146,836 and 13,406,105.50 is: 29,238,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,836 : 13,406,105.50 = 13,406,105.50 : x
  2. Step 2: Convert to fraction form
    6,146,836/13,406,105.50 = 13,406,105.50/x
  3. Step 3: Cross multiply
    6,146,836x = 13,406,105.50 × 13,406,105.50
  4. Step 4: Simplify right side
    6,146,836x = 179,723,664,677,130.25
  5. Step 5: Solve for x
    x = 179,723,664,677,130.25/6,146,836
  6. Step 6: Final answer
    x = 29,238,402.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.