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Finding the Third Proportional to 13,829,606,843.63 and 29,756,728,208.25

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Solution

The third proportional to 13,829,606,843.63 and 29,756,728,208.25 is: 64,026,612,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,606,843.63 : 29,756,728,208.25 = 29,756,728,208.25 : x
  2. Step 2: Convert to fraction form
    13,829,606,843.63/29,756,728,208.25 = 29,756,728,208.25/x
  3. Step 3: Cross multiply
    13,829,606,843.63x = 29,756,728,208.25 × 29,756,728,208.25
  4. Step 4: Simplify right side
    13,829,606,843.63x = 885,462,873,659,661,221,888
  5. Step 5: Solve for x
    x = 885,462,873,659,661,221,888/13,829,606,843.63
  6. Step 6: Final answer
    x = 64,026,612,156.93

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