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Finding the Third Proportional to 33,065,280 and 70,064,064

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Solution

The third proportional to 33,065,280 and 70,064,064 is: 148,463,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065,280 : 70,064,064 = 70,064,064 : x
  2. Step 2: Convert to fraction form
    33,065,280/70,064,064 = 70,064,064/x
  3. Step 3: Cross multiply
    33,065,280x = 70,064,064 × 70,064,064
  4. Step 4: Simplify right side
    33,065,280x = 4,908,973,064,196,096
  5. Step 5: Solve for x
    x = 4,908,973,064,196,096/33,065,280
  6. Step 6: Final answer
    x = 148,463,072.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.