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Finding the Third Proportional to 979,542,942 and 2,131,265,316

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Solution

The third proportional to 979,542,942 and 2,131,265,316 is: 4,637,154,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,542,942 : 2,131,265,316 = 2,131,265,316 : x
  2. Step 2: Convert to fraction form
    979,542,942/2,131,265,316 = 2,131,265,316/x
  3. Step 3: Cross multiply
    979,542,942x = 2,131,265,316 × 2,131,265,316
  4. Step 4: Simplify right side
    979,542,942x = 4,542,291,847,184,580,096
  5. Step 5: Solve for x
    x = 4,542,291,847,184,580,096/979,542,942
  6. Step 6: Final answer
    x = 4,637,154,383.36

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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.