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Finding the Third Proportional to 74,584,902 and 162,717,843.75

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Solution

The third proportional to 74,584,902 and 162,717,843.75 is: 354,992,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,584,902 : 162,717,843.75 = 162,717,843.75 : x
  2. Step 2: Convert to fraction form
    74,584,902/162,717,843.75 = 162,717,843.75/x
  3. Step 3: Cross multiply
    74,584,902x = 162,717,843.75 × 162,717,843.75
  4. Step 4: Simplify right side
    74,584,902x = 26,477,096,674,649,416
  5. Step 5: Solve for x
    x = 26,477,096,674,649,416/74,584,902
  6. Step 6: Final answer
    x = 354,992,712.53

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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.