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Finding the Third Proportional to 56,598,984,972 and 121,148,782,200

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Solution

The third proportional to 56,598,984,972 and 121,148,782,200 is: 259,316,089,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598,984,972 : 121,148,782,200 = 121,148,782,200 : x
  2. Step 2: Convert to fraction form
    56,598,984,972/121,148,782,200 = 121,148,782,200/x
  3. Step 3: Cross multiply
    56,598,984,972x = 121,148,782,200 × 121,148,782,200
  4. Step 4: Simplify right side
    56,598,984,972x = 14,677,027,428,543,036,915,712
  5. Step 5: Solve for x
    x = 14,677,027,428,543,036,915,712/56,598,984,972
  6. Step 6: Final answer
    x = 259,316,089,074.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.