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Finding the Third Proportional to 335,898,136,652 and 740,263,013,072

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Solution

The third proportional to 335,898,136,652 and 740,263,013,072 is: 1,631,415,208,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898,136,652 : 740,263,013,072 = 740,263,013,072 : x
  2. Step 2: Convert to fraction form
    335,898,136,652/740,263,013,072 = 740,263,013,072/x
  3. Step 3: Cross multiply
    335,898,136,652x = 740,263,013,072 × 740,263,013,072
  4. Step 4: Simplify right side
    335,898,136,652x = 547,989,328,522,436,071,653,376
  5. Step 5: Solve for x
    x = 547,989,328,522,436,071,653,376/335,898,136,652
  6. Step 6: Final answer
    x = 1,631,415,208,147.37

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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.