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Finding the Third Proportional to 1,244,124,252 and 2,672,880,552

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Solution

The third proportional to 1,244,124,252 and 2,672,880,552 is: 5,742,425,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,124,252 : 2,672,880,552 = 2,672,880,552 : x
  2. Step 2: Convert to fraction form
    1,244,124,252/2,672,880,552 = 2,672,880,552/x
  3. Step 3: Cross multiply
    1,244,124,252x = 2,672,880,552 × 2,672,880,552
  4. Step 4: Simplify right side
    1,244,124,252x = 7,144,290,445,259,825,152
  5. Step 5: Solve for x
    x = 7,144,290,445,259,825,152/1,244,124,252
  6. Step 6: Final answer
    x = 5,742,425,190.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.