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Finding the Third Proportional to 605,299,319,070 and 1,333,977,917,040

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Solution

The third proportional to 605,299,319,070 and 1,333,977,917,040 is: 2,939,863,018,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,299,319,070 : 1,333,977,917,040 = 1,333,977,917,040 : x
  2. Step 2: Convert to fraction form
    605,299,319,070/1,333,977,917,040 = 1,333,977,917,040/x
  3. Step 3: Cross multiply
    605,299,319,070x = 1,333,977,917,040 × 1,333,977,917,040
  4. Step 4: Simplify right side
    605,299,319,070x = 1,779,497,083,150,377,150,316,544
  5. Step 5: Solve for x
    x = 1,779,497,083,150,377,150,316,544/605,299,319,070
  6. Step 6: Final answer
    x = 2,939,863,018,323.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.