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Finding the Third Proportional to 76,400,672 and 118,474,032

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Solution

The third proportional to 76,400,672 and 118,474,032 is: 183,716,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400,672 : 118,474,032 = 118,474,032 : x
  2. Step 2: Convert to fraction form
    76,400,672/118,474,032 = 118,474,032/x
  3. Step 3: Cross multiply
    76,400,672x = 118,474,032 × 118,474,032
  4. Step 4: Simplify right side
    76,400,672x = 14,036,096,258,337,024
  5. Step 5: Solve for x
    x = 14,036,096,258,337,024/76,400,672
  6. Step 6: Final answer
    x = 183,716,921.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.