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Finding the Third Proportional to 74,887,334,521.59 and 160,378,068,448.68

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Solution

The third proportional to 74,887,334,521.59 and 160,378,068,448.68 is: 343,464,285,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,887,334,521.59 : 160,378,068,448.68 = 160,378,068,448.68 : x
  2. Step 2: Convert to fraction form
    74,887,334,521.59/160,378,068,448.68 = 160,378,068,448.68/x
  3. Step 3: Cross multiply
    74,887,334,521.59x = 160,378,068,448.68 × 160,378,068,448.68
  4. Step 4: Simplify right side
    74,887,334,521.59x = 25,721,124,839,329,485,553,664
  5. Step 5: Solve for x
    x = 25,721,124,839,329,485,553,664/74,887,334,521.59
  6. Step 6: Final answer
    x = 343,464,285,431.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.