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Finding the Third Proportional to 38,007,912 and 51,638,424

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Solution

The third proportional to 38,007,912 and 51,638,424 is: 70,157,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,912 : 51,638,424 = 51,638,424 : x
  2. Step 2: Convert to fraction form
    38,007,912/51,638,424 = 51,638,424/x
  3. Step 3: Cross multiply
    38,007,912x = 51,638,424 × 51,638,424
  4. Step 4: Simplify right side
    38,007,912x = 2,666,526,833,203,776
  5. Step 5: Solve for x
    x = 2,666,526,833,203,776/38,007,912
  6. Step 6: Final answer
    x = 70,157,151.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.