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Finding the Third Proportional to 2,511,251,136 and 5,865,549,696

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Solution

The third proportional to 2,511,251,136 and 5,865,549,696 is: 13,700,212,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,251,136 : 5,865,549,696 = 5,865,549,696 : x
  2. Step 2: Convert to fraction form
    2,511,251,136/5,865,549,696 = 5,865,549,696/x
  3. Step 3: Cross multiply
    2,511,251,136x = 5,865,549,696 × 5,865,549,696
  4. Step 4: Simplify right side
    2,511,251,136x = 34,404,673,236,245,692,416
  5. Step 5: Solve for x
    x = 34,404,673,236,245,692,416/2,511,251,136
  6. Step 6: Final answer
    x = 13,700,212,114.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.