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Finding the Third Proportional to 335,898,136,646 and 740,263,013,060

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Solution

The third proportional to 335,898,136,646 and 740,263,013,060 is: 1,631,415,208,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898,136,646 : 740,263,013,060 = 740,263,013,060 : x
  2. Step 2: Convert to fraction form
    335,898,136,646/740,263,013,060 = 740,263,013,060/x
  3. Step 3: Cross multiply
    335,898,136,646x = 740,263,013,060 × 740,263,013,060
  4. Step 4: Simplify right side
    335,898,136,646x = 547,989,328,504,669,738,106,880
  5. Step 5: Solve for x
    x = 547,989,328,504,669,738,106,880/335,898,136,646
  6. Step 6: Final answer
    x = 1,631,415,208,123.62

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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.