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Finding the Third Proportional to 46,769,770,730 and 109,133,236,409

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Solution

The third proportional to 46,769,770,730 and 109,133,236,409 is: 254,653,018,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769,770,730 : 109,133,236,409 = 109,133,236,409 : x
  2. Step 2: Convert to fraction form
    46,769,770,730/109,133,236,409 = 109,133,236,409/x
  3. Step 3: Cross multiply
    46,769,770,730x = 109,133,236,409 × 109,133,236,409
  4. Step 4: Simplify right side
    46,769,770,730x = 11,910,063,289,102,682,292,224
  5. Step 5: Solve for x
    x = 11,910,063,289,102,682,292,224/46,769,770,730
  6. Step 6: Final answer
    x = 254,653,018,460.56

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.