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Finding the Third Proportional to 564,922,560 and 1,216,410,900

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Solution

The third proportional to 564,922,560 and 1,216,410,900 is: 2,619,218,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,922,560 : 1,216,410,900 = 1,216,410,900 : x
  2. Step 2: Convert to fraction form
    564,922,560/1,216,410,900 = 1,216,410,900/x
  3. Step 3: Cross multiply
    564,922,560x = 1,216,410,900 × 1,216,410,900
  4. Step 4: Simplify right side
    564,922,560x = 1,479,655,477,638,810,112
  5. Step 5: Solve for x
    x = 1,479,655,477,638,810,112/564,922,560
  6. Step 6: Final answer
    x = 2,619,218,247.61

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