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Finding the Third Proportional to 75,917,463,416 and 163,260,244,032

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Solution

The third proportional to 75,917,463,416 and 163,260,244,032 is: 351,090,593,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917,463,416 : 163,260,244,032 = 163,260,244,032 : x
  2. Step 2: Convert to fraction form
    75,917,463,416/163,260,244,032 = 163,260,244,032/x
  3. Step 3: Cross multiply
    75,917,463,416x = 163,260,244,032 × 163,260,244,032
  4. Step 4: Simplify right side
    75,917,463,416x = 26,653,907,281,388,190,564,352
  5. Step 5: Solve for x
    x = 26,653,907,281,388,190,564,352/75,917,463,416
  6. Step 6: Final answer
    x = 351,090,593,416.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.