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Finding the Third Proportional to 1,137,754,200,291 and 1,643,858,343,023

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Solution

The third proportional to 1,137,754,200,291 and 1,643,858,343,023 is: 2,375,091,431,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,754,200,291 : 1,643,858,343,023 = 1,643,858,343,023 : x
  2. Step 2: Convert to fraction form
    1,137,754,200,291/1,643,858,343,023 = 1,643,858,343,023/x
  3. Step 3: Cross multiply
    1,137,754,200,291x = 1,643,858,343,023 × 1,643,858,343,023
  4. Step 4: Simplify right side
    1,137,754,200,291x = 2,702,270,251,926,323,130,793,984
  5. Step 5: Solve for x
    x = 2,702,270,251,926,323,130,793,984/1,137,754,200,291
  6. Step 6: Final answer
    x = 2,375,091,431,202.95

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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.