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Finding the Third Proportional to 604,751,283,262 and 1,295,762,078,812

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Solution

The third proportional to 604,751,283,262 and 1,295,762,078,812 is: 2,776,346,923,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,283,262 : 1,295,762,078,812 = 1,295,762,078,812 : x
  2. Step 2: Convert to fraction form
    604,751,283,262/1,295,762,078,812 = 1,295,762,078,812/x
  3. Step 3: Cross multiply
    604,751,283,262x = 1,295,762,078,812 × 1,295,762,078,812
  4. Step 4: Simplify right side
    604,751,283,262x = 1,678,999,364,887,195,586,396,160
  5. Step 5: Solve for x
    x = 1,678,999,364,887,195,586,396,160/604,751,283,262
  6. Step 6: Final answer
    x = 2,776,346,923,698.54

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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.