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Finding the Third Proportional to 56,539,780 and 122,468,056

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Solution

The third proportional to 56,539,780 and 122,468,056 is: 265,272,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,539,780 : 122,468,056 = 122,468,056 : x
  2. Step 2: Convert to fraction form
    56,539,780/122,468,056 = 122,468,056/x
  3. Step 3: Cross multiply
    56,539,780x = 122,468,056 × 122,468,056
  4. Step 4: Simplify right side
    56,539,780x = 14,998,424,740,419,136
  5. Step 5: Solve for x
    x = 14,998,424,740,419,136/56,539,780
  6. Step 6: Final answer
    x = 265,272,074.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.