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Finding the Third Proportional to 56,683,530,600 and 121,779,049,872

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Solution

The third proportional to 56,683,530,600 and 121,779,049,872 is: 261,630,438,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683,530,600 : 121,779,049,872 = 121,779,049,872 : x
  2. Step 2: Convert to fraction form
    56,683,530,600/121,779,049,872 = 121,779,049,872/x
  3. Step 3: Cross multiply
    56,683,530,600x = 121,779,049,872 × 121,779,049,872
  4. Step 4: Simplify right side
    56,683,530,600x = 14,830,136,987,727,062,630,400
  5. Step 5: Solve for x
    x = 14,830,136,987,727,062,630,400/56,683,530,600
  6. Step 6: Final answer
    x = 261,630,438,872.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.