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Finding the Third Proportional to 2,966,076 and 6,475,824

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Solution

The third proportional to 2,966,076 and 6,475,824 is: 14,138,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,076 : 6,475,824 = 6,475,824 : x
  2. Step 2: Convert to fraction form
    2,966,076/6,475,824 = 6,475,824/x
  3. Step 3: Cross multiply
    2,966,076x = 6,475,824 × 6,475,824
  4. Step 4: Simplify right side
    2,966,076x = 41,936,296,478,976
  5. Step 5: Solve for x
    x = 41,936,296,478,976/2,966,076
  6. Step 6: Final answer
    x = 14,138,645.29

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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.