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Finding the Third Proportional to 2,996,673.75 and 6,472,172.25

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Solution

The third proportional to 2,996,673.75 and 6,472,172.25 is: 13,978,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,673.75 : 6,472,172.25 = 6,472,172.25 : x
  2. Step 2: Convert to fraction form
    2,996,673.75/6,472,172.25 = 6,472,172.25/x
  3. Step 3: Cross multiply
    2,996,673.75x = 6,472,172.25 × 6,472,172.25
  4. Step 4: Simplify right side
    2,996,673.75x = 41,889,013,633,670.06
  5. Step 5: Solve for x
    x = 41,889,013,633,670.06/2,996,673.75
  6. Step 6: Final answer
    x = 13,978,503.21

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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.