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Finding the Third Proportional to 2,259,383.63 and 4,977,095.63

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Solution

The third proportional to 2,259,383.63 and 4,977,095.63 is: 10,963,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,383.63 : 4,977,095.63 = 4,977,095.63 : x
  2. Step 2: Convert to fraction form
    2,259,383.63/4,977,095.63 = 4,977,095.63/x
  3. Step 3: Cross multiply
    2,259,383.63x = 4,977,095.63 × 4,977,095.63
  4. Step 4: Simplify right side
    2,259,383.63x = 24,771,480,860,394.14
  5. Step 5: Solve for x
    x = 24,771,480,860,394.14/2,259,383.63
  6. Step 6: Final answer
    x = 10,963,822.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.