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Finding the Third Proportional to 605,299,319,017.73 and 1,333,977,916,942.10

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Solution

The third proportional to 605,299,319,017.73 and 1,333,977,916,942.10 is: 2,939,863,018,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,299,319,017.73 : 1,333,977,916,942.10 = 1,333,977,916,942.10 : x
  2. Step 2: Convert to fraction form
    605,299,319,017.73/1,333,977,916,942.10 = 1,333,977,916,942.10/x
  3. Step 3: Cross multiply
    605,299,319,017.73x = 1,333,977,916,942.10 × 1,333,977,916,942.10
  4. Step 4: Simplify right side
    605,299,319,017.73x = 1,779,497,082,889,184,619,790,336
  5. Step 5: Solve for x
    x = 1,779,497,082,889,184,619,790,336/605,299,319,017.73
  6. Step 6: Final answer
    x = 2,939,863,018,146.00

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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.