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Finding the Third Proportional to 223,697,494,719 and 490,703,976,429

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Solution

The third proportional to 223,697,494,719 and 490,703,976,429 is: 1,076,410,769,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,697,494,719 : 490,703,976,429 = 490,703,976,429 : x
  2. Step 2: Convert to fraction form
    223,697,494,719/490,703,976,429 = 490,703,976,429/x
  3. Step 3: Cross multiply
    223,697,494,719x = 490,703,976,429 × 490,703,976,429
  4. Step 4: Simplify right side
    223,697,494,719x = 240,790,392,483,232,599,769,088
  5. Step 5: Solve for x
    x = 240,790,392,483,232,599,769,088/223,697,494,719
  6. Step 6: Final answer
    x = 1,076,410,769,757.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.