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Finding the Third Proportional to 3,153,089,298 and 4,434,609,132

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Solution

The third proportional to 3,153,089,298 and 4,434,609,132 is: 6,236,981,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,089,298 : 4,434,609,132 = 4,434,609,132 : x
  2. Step 2: Convert to fraction form
    3,153,089,298/4,434,609,132 = 4,434,609,132/x
  3. Step 3: Cross multiply
    3,153,089,298x = 4,434,609,132 × 4,434,609,132
  4. Step 4: Simplify right side
    3,153,089,298x = 19,665,758,153,617,793,024
  5. Step 5: Solve for x
    x = 19,665,758,153,617,793,024/3,153,089,298
  6. Step 6: Final answer
    x = 6,236,981,035.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.