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Finding the Third Proportional to 604,751,283,252 and 1,295,762,078,790

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Solution

The third proportional to 604,751,283,252 and 1,295,762,078,790 is: 2,776,346,923,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,283,252 : 1,295,762,078,790 = 1,295,762,078,790 : x
  2. Step 2: Convert to fraction form
    604,751,283,252/1,295,762,078,790 = 1,295,762,078,790/x
  3. Step 3: Cross multiply
    604,751,283,252x = 1,295,762,078,790 × 1,295,762,078,790
  4. Step 4: Simplify right side
    604,751,283,252x = 1,678,999,364,830,182,043,025,408
  5. Step 5: Solve for x
    x = 1,678,999,364,830,182,043,025,408/604,751,283,252
  6. Step 6: Final answer
    x = 2,776,346,923,650.17

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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.