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Finding the Third Proportional to 6,531,604.50 and 13,841,901.75

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Solution

The third proportional to 6,531,604.50 and 13,841,901.75 is: 29,334,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531,604.50 : 13,841,901.75 = 13,841,901.75 : x
  2. Step 2: Convert to fraction form
    6,531,604.50/13,841,901.75 = 13,841,901.75/x
  3. Step 3: Cross multiply
    6,531,604.50x = 13,841,901.75 × 13,841,901.75
  4. Step 4: Simplify right side
    6,531,604.50x = 191,598,244,056,653.06
  5. Step 5: Solve for x
    x = 191,598,244,056,653.06/6,531,604.50
  6. Step 6: Final answer
    x = 29,334,024.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.