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Finding the Third Proportional to 9,089,652 and 14,470,424

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Solution

The third proportional to 9,089,652 and 14,470,424 is: 23,036,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,652 : 14,470,424 = 14,470,424 : x
  2. Step 2: Convert to fraction form
    9,089,652/14,470,424 = 14,470,424/x
  3. Step 3: Cross multiply
    9,089,652x = 14,470,424 × 14,470,424
  4. Step 4: Simplify right side
    9,089,652x = 209,393,170,739,776
  5. Step 5: Solve for x
    x = 209,393,170,739,776/9,089,652
  6. Step 6: Final answer
    x = 23,036,434.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.