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Finding the Third Proportional to 420,751,762,362 and 901,080,197,766

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Solution

The third proportional to 420,751,762,362 and 901,080,197,766 is: 1,929,749,546,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,751,762,362 : 901,080,197,766 = 901,080,197,766 : x
  2. Step 2: Convert to fraction form
    420,751,762,362/901,080,197,766 = 901,080,197,766/x
  3. Step 3: Cross multiply
    420,751,762,362x = 901,080,197,766 × 901,080,197,766
  4. Step 4: Simplify right side
    420,751,762,362x = 811,945,522,806,013,665,738,752
  5. Step 5: Solve for x
    x = 811,945,522,806,013,665,738,752/420,751,762,362
  6. Step 6: Final answer
    x = 1,929,749,546,972.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.