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Finding the Third Proportional to 5,090,229 and 10,977,498

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Solution

The third proportional to 5,090,229 and 10,977,498 is: 23,673,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,229 : 10,977,498 = 10,977,498 : x
  2. Step 2: Convert to fraction form
    5,090,229/10,977,498 = 10,977,498/x
  3. Step 3: Cross multiply
    5,090,229x = 10,977,498 × 10,977,498
  4. Step 4: Simplify right side
    5,090,229x = 120,505,462,340,004
  5. Step 5: Solve for x
    x = 120,505,462,340,004/5,090,229
  6. Step 6: Final answer
    x = 23,673,878.39

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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.