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Finding the Third Proportional to 5,090,463 and 10,977,957

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Solution

The third proportional to 5,090,463 and 10,977,957 is: 23,674,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,463 : 10,977,957 = 10,977,957 : x
  2. Step 2: Convert to fraction form
    5,090,463/10,977,957 = 10,977,957/x
  3. Step 3: Cross multiply
    5,090,463x = 10,977,957 × 10,977,957
  4. Step 4: Simplify right side
    5,090,463x = 120,515,539,893,849
  5. Step 5: Solve for x
    x = 120,515,539,893,849/5,090,463
  6. Step 6: Final answer
    x = 23,674,769.84

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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.