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Finding the Third Proportional to 2,650,141,278 and 5,741,948,772

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Solution

The third proportional to 2,650,141,278 and 5,741,948,772 is: 12,440,837,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650,141,278 : 5,741,948,772 = 5,741,948,772 : x
  2. Step 2: Convert to fraction form
    2,650,141,278/5,741,948,772 = 5,741,948,772/x
  3. Step 3: Cross multiply
    2,650,141,278x = 5,741,948,772 × 5,741,948,772
  4. Step 4: Simplify right side
    2,650,141,278x = 32,969,975,700,272,308,224
  5. Step 5: Solve for x
    x = 32,969,975,700,272,308,224/2,650,141,278
  6. Step 6: Final answer
    x = 12,440,837,012.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.