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Finding the Third Proportional to 50,374,298,794 and 110,238,054,740

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Solution

The third proportional to 50,374,298,794 and 110,238,054,740 is: 241,242,637,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,374,298,794 : 110,238,054,740 = 110,238,054,740 : x
  2. Step 2: Convert to fraction form
    50,374,298,794/110,238,054,740 = 110,238,054,740/x
  3. Step 3: Cross multiply
    50,374,298,794x = 110,238,054,740 × 110,238,054,740
  4. Step 4: Simplify right side
    50,374,298,794x = 12,152,428,712,859,235,516,416
  5. Step 5: Solve for x
    x = 12,152,428,712,859,235,516,416/50,374,298,794
  6. Step 6: Final answer
    x = 241,242,637,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.