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Finding the Third Proportional to 35,264,207,356 and 76,726,866,488

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Solution

The third proportional to 35,264,207,356 and 76,726,866,488 is: 166,940,149,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264,207,356 : 76,726,866,488 = 76,726,866,488 : x
  2. Step 2: Convert to fraction form
    35,264,207,356/76,726,866,488 = 76,726,866,488/x
  3. Step 3: Cross multiply
    35,264,207,356x = 76,726,866,488 × 76,726,866,488
  4. Step 4: Simplify right side
    35,264,207,356x = 5,887,012,041,067,377,721,344
  5. Step 5: Solve for x
    x = 5,887,012,041,067,377,721,344/35,264,207,356
  6. Step 6: Final answer
    x = 166,940,149,303.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.