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Finding the Third Proportional to 2,829,576.75 and 6,137,658

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Solution

The third proportional to 2,829,576.75 and 6,137,658 is: 13,313,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,576.75 : 6,137,658 = 6,137,658 : x
  2. Step 2: Convert to fraction form
    2,829,576.75/6,137,658 = 6,137,658/x
  3. Step 3: Cross multiply
    2,829,576.75x = 6,137,658 × 6,137,658
  4. Step 4: Simplify right side
    2,829,576.75x = 37,670,845,724,964
  5. Step 5: Solve for x
    x = 37,670,845,724,964/2,829,576.75
  6. Step 6: Final answer
    x = 13,313,244.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.