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Finding the Third Proportional to 1,356,983,460 and 2,954,254,780

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Solution

The third proportional to 1,356,983,460 and 2,954,254,780 is: 6,431,634,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,983,460 : 2,954,254,780 = 2,954,254,780 : x
  2. Step 2: Convert to fraction form
    1,356,983,460/2,954,254,780 = 2,954,254,780/x
  3. Step 3: Cross multiply
    1,356,983,460x = 2,954,254,780 × 2,954,254,780
  4. Step 4: Simplify right side
    1,356,983,460x = 8,727,621,305,152,848,896
  5. Step 5: Solve for x
    x = 8,727,621,305,152,848,896/1,356,983,460
  6. Step 6: Final answer
    x = 6,431,634,255.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.