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Finding the Third Proportional to 29,597,568 and 64,559,584

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Solution

The third proportional to 29,597,568 and 64,559,584 is: 140,820,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597,568 : 64,559,584 = 64,559,584 : x
  2. Step 2: Convert to fraction form
    29,597,568/64,559,584 = 64,559,584/x
  3. Step 3: Cross multiply
    29,597,568x = 64,559,584 × 64,559,584
  4. Step 4: Simplify right side
    29,597,568x = 4,167,939,886,253,056
  5. Step 5: Solve for x
    x = 4,167,939,886,253,056/29,597,568
  6. Step 6: Final answer
    x = 140,820,350.05

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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.