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Finding the Third Proportional to 5,090,464 and 10,977,948

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Solution

The third proportional to 5,090,464 and 10,977,948 is: 23,674,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,464 : 10,977,948 = 10,977,948 : x
  2. Step 2: Convert to fraction form
    5,090,464/10,977,948 = 10,977,948/x
  3. Step 3: Cross multiply
    5,090,464x = 10,977,948 × 10,977,948
  4. Step 4: Simplify right side
    5,090,464x = 120,515,342,290,704
  5. Step 5: Solve for x
    x = 120,515,342,290,704/5,090,464
  6. Step 6: Final answer
    x = 23,674,726.37

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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.