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Finding the Third Proportional to 2,307,787.31 and 5,021,944.31

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Solution

The third proportional to 2,307,787.31 and 5,021,944.31 is: 10,928,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,787.31 : 5,021,944.31 = 5,021,944.31 : x
  2. Step 2: Convert to fraction form
    2,307,787.31/5,021,944.31 = 5,021,944.31/x
  3. Step 3: Cross multiply
    2,307,787.31x = 5,021,944.31 × 5,021,944.31
  4. Step 4: Simplify right side
    2,307,787.31x = 25,219,924,677,851.10
  5. Step 5: Solve for x
    x = 25,219,924,677,851.10/2,307,787.31
  6. Step 6: Final answer
    x = 10,928,184.13

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Why These Related Problems?

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