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Finding the Third Proportional to 75,969,924 and 154,624,672

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Solution

The third proportional to 75,969,924 and 154,624,672 is: 314,713,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969,924 : 154,624,672 = 154,624,672 : x
  2. Step 2: Convert to fraction form
    75,969,924/154,624,672 = 154,624,672/x
  3. Step 3: Cross multiply
    75,969,924x = 154,624,672 × 154,624,672
  4. Step 4: Simplify right side
    75,969,924x = 23,908,789,191,107,584
  5. Step 5: Solve for x
    x = 23,908,789,191,107,584/75,969,924
  6. Step 6: Final answer
    x = 314,713,875.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.