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Finding the Third Proportional to 2,416,234,080 and 3,727,774,692

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Solution

The third proportional to 2,416,234,080 and 3,727,774,692 is: 5,751,224,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,234,080 : 3,727,774,692 = 3,727,774,692 : x
  2. Step 2: Convert to fraction form
    2,416,234,080/3,727,774,692 = 3,727,774,692/x
  3. Step 3: Cross multiply
    2,416,234,080x = 3,727,774,692 × 3,727,774,692
  4. Step 4: Simplify right side
    2,416,234,080x = 13,896,304,154,315,694,080
  5. Step 5: Solve for x
    x = 13,896,304,154,315,694,080/2,416,234,080
  6. Step 6: Final answer
    x = 5,751,224,299.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.