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Finding the Third Proportional to 29,978,954,301 and 66,660,774,903.75

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Solution

The third proportional to 29,978,954,301 and 66,660,774,903.75 is: 148,225,947,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978,954,301 : 66,660,774,903.75 = 66,660,774,903.75 : x
  2. Step 2: Convert to fraction form
    29,978,954,301/66,660,774,903.75 = 66,660,774,903.75/x
  3. Step 3: Cross multiply
    29,978,954,301x = 66,660,774,903.75 × 66,660,774,903.75
  4. Step 4: Simplify right side
    29,978,954,301x = 4,443,658,910,768,425,861,120
  5. Step 5: Solve for x
    x = 4,443,658,910,768,425,861,120/29,978,954,301
  6. Step 6: Final answer
    x = 148,225,947,648.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.