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Finding the Third Proportional to 559,086,809 and 1,216,347,487.75

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Solution

The third proportional to 559,086,809 and 1,216,347,487.75 is: 2,646,281,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,086,809 : 1,216,347,487.75 = 1,216,347,487.75 : x
  2. Step 2: Convert to fraction form
    559,086,809/1,216,347,487.75 = 1,216,347,487.75/x
  3. Step 3: Cross multiply
    559,086,809x = 1,216,347,487.75 × 1,216,347,487.75
  4. Step 4: Simplify right side
    559,086,809x = 1,479,501,210,955,736,320
  5. Step 5: Solve for x
    x = 1,479,501,210,955,736,320/559,086,809
  6. Step 6: Final answer
    x = 2,646,281,735.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.