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Finding the Third Proportional to 1,263,270,972 and 2,817,008,880

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Solution

The third proportional to 1,263,270,972 and 2,817,008,880 is: 6,281,739,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,270,972 : 2,817,008,880 = 2,817,008,880 : x
  2. Step 2: Convert to fraction form
    1,263,270,972/2,817,008,880 = 2,817,008,880/x
  3. Step 3: Cross multiply
    1,263,270,972x = 2,817,008,880 × 2,817,008,880
  4. Step 4: Simplify right side
    1,263,270,972x = 7,935,539,029,998,854,144
  5. Step 5: Solve for x
    x = 7,935,539,029,998,854,144/1,263,270,972
  6. Step 6: Final answer
    x = 6,281,739,393.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.