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Finding the Third Proportional to 233,089,012 and 349,547,927

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Solution

The third proportional to 233,089,012 and 349,547,927 is: 524,193,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,089,012 : 349,547,927 = 349,547,927 : x
  2. Step 2: Convert to fraction form
    233,089,012/349,547,927 = 349,547,927/x
  3. Step 3: Cross multiply
    233,089,012x = 349,547,927 × 349,547,927
  4. Step 4: Simplify right side
    233,089,012x = 122,183,753,269,997,328
  5. Step 5: Solve for x
    x = 122,183,753,269,997,328/233,089,012
  6. Step 6: Final answer
    x = 524,193,535.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.