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Finding the Third Proportional to 5,090,220 and 10,909,089

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Solution

The third proportional to 5,090,220 and 10,909,089 is: 23,379,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,220 : 10,909,089 = 10,909,089 : x
  2. Step 2: Convert to fraction form
    5,090,220/10,909,089 = 10,909,089/x
  3. Step 3: Cross multiply
    5,090,220x = 10,909,089 × 10,909,089
  4. Step 4: Simplify right side
    5,090,220x = 119,008,222,809,921
  5. Step 5: Solve for x
    x = 119,008,222,809,921/5,090,220
  6. Step 6: Final answer
    x = 23,379,779.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.