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Finding the Third Proportional to 74,969,005 and 114,446,391

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Solution

The third proportional to 74,969,005 and 114,446,391 is: 174,711,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,969,005 : 114,446,391 = 114,446,391 : x
  2. Step 2: Convert to fraction form
    74,969,005/114,446,391 = 114,446,391/x
  3. Step 3: Cross multiply
    74,969,005x = 114,446,391 × 114,446,391
  4. Step 4: Simplify right side
    74,969,005x = 13,097,976,412,924,880
  5. Step 5: Solve for x
    x = 13,097,976,412,924,880/74,969,005
  6. Step 6: Final answer
    x = 174,711,888.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.