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Finding the Third Proportional to 6,313,052.25 and 13,611,206.25

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Solution

The third proportional to 6,313,052.25 and 13,611,206.25 is: 29,346,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313,052.25 : 13,611,206.25 = 13,611,206.25 : x
  2. Step 2: Convert to fraction form
    6,313,052.25/13,611,206.25 = 13,611,206.25/x
  3. Step 3: Cross multiply
    6,313,052.25x = 13,611,206.25 × 13,611,206.25
  4. Step 4: Simplify right side
    6,313,052.25x = 185,264,935,580,039.06
  5. Step 5: Solve for x
    x = 185,264,935,580,039.06/6,313,052.25
  6. Step 6: Final answer
    x = 29,346,333.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.