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Finding the Third Proportional to 1,264,897,224 and 1,889,905,660

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Solution

The third proportional to 1,264,897,224 and 1,889,905,660 is: 2,823,741,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,897,224 : 1,889,905,660 = 1,889,905,660 : x
  2. Step 2: Convert to fraction form
    1,264,897,224/1,889,905,660 = 1,889,905,660/x
  3. Step 3: Cross multiply
    1,264,897,224x = 1,889,905,660 × 1,889,905,660
  4. Step 4: Simplify right side
    1,264,897,224x = 3,571,743,403,700,035,584
  5. Step 5: Solve for x
    x = 3,571,743,403,700,035,584/1,264,897,224
  6. Step 6: Final answer
    x = 2,823,741,989.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.