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Finding the Third Proportional to 605,299,319,005.50 and 1,333,977,916,920

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Solution

The third proportional to 605,299,319,005.50 and 1,333,977,916,920 is: 2,939,863,018,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,299,319,005.50 : 1,333,977,916,920 = 1,333,977,916,920 : x
  2. Step 2: Convert to fraction form
    605,299,319,005.50/1,333,977,916,920 = 1,333,977,916,920/x
  3. Step 3: Cross multiply
    605,299,319,005.50x = 1,333,977,916,920 × 1,333,977,916,920
  4. Step 4: Simplify right side
    605,299,319,005.50x = 1,779,497,082,830,222,503,444,480
  5. Step 5: Solve for x
    x = 1,779,497,082,830,222,503,444,480/605,299,319,005.50
  6. Step 6: Final answer
    x = 2,939,863,018,107.99

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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.