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Finding the Third Proportional to 34,089,984 and 72,966,212

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Solution

The third proportional to 34,089,984 and 72,966,212 is: 156,176,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089,984 : 72,966,212 = 72,966,212 : x
  2. Step 2: Convert to fraction form
    34,089,984/72,966,212 = 72,966,212/x
  3. Step 3: Cross multiply
    34,089,984x = 72,966,212 × 72,966,212
  4. Step 4: Simplify right side
    34,089,984x = 5,324,068,093,628,944
  5. Step 5: Solve for x
    x = 5,324,068,093,628,944/34,089,984
  6. Step 6: Final answer
    x = 156,176,902.10

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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.