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Finding the Third Proportional to 690,334,218 and 1,483,125,012

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Solution

The third proportional to 690,334,218 and 1,483,125,012 is: 3,186,369,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,334,218 : 1,483,125,012 = 1,483,125,012 : x
  2. Step 2: Convert to fraction form
    690,334,218/1,483,125,012 = 1,483,125,012/x
  3. Step 3: Cross multiply
    690,334,218x = 1,483,125,012 × 1,483,125,012
  4. Step 4: Simplify right side
    690,334,218x = 2,199,659,801,220,000,256
  5. Step 5: Solve for x
    x = 2,199,659,801,220,000,256/690,334,218
  6. Step 6: Final answer
    x = 3,186,369,361.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.