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Finding the Third Proportional to 38,302,284 and 81,912,984

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Solution

The third proportional to 38,302,284 and 81,912,984 is: 175,178,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302,284 : 81,912,984 = 81,912,984 : x
  2. Step 2: Convert to fraction form
    38,302,284/81,912,984 = 81,912,984/x
  3. Step 3: Cross multiply
    38,302,284x = 81,912,984 × 81,912,984
  4. Step 4: Simplify right side
    38,302,284x = 6,709,736,947,784,256
  5. Step 5: Solve for x
    x = 6,709,736,947,784,256/38,302,284
  6. Step 6: Final answer
    x = 175,178,507.57

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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.