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Finding the Third Proportional to 13,835,957,706,208 and 29,754,179,470,659

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Solution

The third proportional to 13,835,957,706,208 and 29,754,179,470,659 is: 63,986,260,638,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,957,706,208 : 29,754,179,470,659 = 29,754,179,470,659 : x
  2. Step 2: Convert to fraction form
    13,835,957,706,208/29,754,179,470,659 = 29,754,179,470,659/x
  3. Step 3: Cross multiply
    13,835,957,706,208x = 29,754,179,470,659 × 29,754,179,470,659
  4. Step 4: Simplify right side
    13,835,957,706,208x = 885,311,195,972,185,468,830,744,576
  5. Step 5: Solve for x
    x = 885,311,195,972,185,468,830,744,576/13,835,957,706,208
  6. Step 6: Final answer
    x = 63,986,260,638,463.70

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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.