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Finding the Third Proportional to 1,137,754,155,373 and 1,643,858,277,042

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Solution

The third proportional to 1,137,754,155,373 and 1,643,858,277,042 is: 2,375,091,334,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,754,155,373 : 1,643,858,277,042 = 1,643,858,277,042 : x
  2. Step 2: Convert to fraction form
    1,137,754,155,373/1,643,858,277,042 = 1,643,858,277,042/x
  3. Step 3: Cross multiply
    1,137,754,155,373x = 1,643,858,277,042 × 1,643,858,277,042
  4. Step 4: Simplify right side
    1,137,754,155,373x = 2,702,270,034,999,492,936,204,288
  5. Step 5: Solve for x
    x = 2,702,270,034,999,492,936,204,288/1,137,754,155,373
  6. Step 6: Final answer
    x = 2,375,091,334,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.