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Finding the Third Proportional to 3,411,851,872 and 5,241,933,312

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Solution

The third proportional to 3,411,851,872 and 5,241,933,312 is: 8,053,651,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,851,872 : 5,241,933,312 = 5,241,933,312 : x
  2. Step 2: Convert to fraction form
    3,411,851,872/5,241,933,312 = 5,241,933,312/x
  3. Step 3: Cross multiply
    3,411,851,872x = 5,241,933,312 × 5,241,933,312
  4. Step 4: Simplify right side
    3,411,851,872x = 27,477,864,847,455,289,344
  5. Step 5: Solve for x
    x = 27,477,864,847,455,289,344/3,411,851,872
  6. Step 6: Final answer
    x = 8,053,651,177.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.