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Finding the Third Proportional to 582,469,668.56 and 1,251,387,047.81

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Solution

The third proportional to 582,469,668.56 and 1,251,387,047.81 is: 2,688,499,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,469,668.56 : 1,251,387,047.81 = 1,251,387,047.81 : x
  2. Step 2: Convert to fraction form
    582,469,668.56/1,251,387,047.81 = 1,251,387,047.81/x
  3. Step 3: Cross multiply
    582,469,668.56x = 1,251,387,047.81 × 1,251,387,047.81
  4. Step 4: Simplify right side
    582,469,668.56x = 1,565,969,543,432,884,224
  5. Step 5: Solve for x
    x = 1,565,969,543,432,884,224/582,469,668.56
  6. Step 6: Final answer
    x = 2,688,499,724.45

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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.