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Finding the Third Proportional to 334,248,744,053 and 734,161,560,601

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Solution

The third proportional to 334,248,744,053 and 734,161,560,601 is: 1,612,551,151,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,248,744,053 : 734,161,560,601 = 734,161,560,601 : x
  2. Step 2: Convert to fraction form
    334,248,744,053/734,161,560,601 = 734,161,560,601/x
  3. Step 3: Cross multiply
    334,248,744,053x = 734,161,560,601 × 734,161,560,601
  4. Step 4: Simplify right side
    334,248,744,053x = 538,993,197,064,095,812,026,368
  5. Step 5: Solve for x
    x = 538,993,197,064,095,812,026,368/334,248,744,053
  6. Step 6: Final answer
    x = 1,612,551,151,362.38

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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.