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Finding the Third Proportional to 53,346,136,221 and 115,990,009,894.12

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Solution

The third proportional to 53,346,136,221 and 115,990,009,894.12 is: 252,196,004,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,346,136,221 : 115,990,009,894.12 = 115,990,009,894.12 : x
  2. Step 2: Convert to fraction form
    53,346,136,221/115,990,009,894.12 = 115,990,009,894.12/x
  3. Step 3: Cross multiply
    53,346,136,221x = 115,990,009,894.12 × 115,990,009,894.12
  4. Step 4: Simplify right side
    53,346,136,221x = 13,453,682,395,238,054,756,352
  5. Step 5: Solve for x
    x = 13,453,682,395,238,054,756,352/53,346,136,221
  6. Step 6: Final answer
    x = 252,196,004,214.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.