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Finding the Third Proportional to 48,840,960 and 96,452,672

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Solution

The third proportional to 48,840,960 and 96,452,672 is: 190,477,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840,960 : 96,452,672 = 96,452,672 : x
  2. Step 2: Convert to fraction form
    48,840,960/96,452,672 = 96,452,672/x
  3. Step 3: Cross multiply
    48,840,960x = 96,452,672 × 96,452,672
  4. Step 4: Simplify right side
    48,840,960x = 9,303,117,935,939,584
  5. Step 5: Solve for x
    x = 9,303,117,935,939,584/48,840,960
  6. Step 6: Final answer
    x = 190,477,786.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.