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Finding the Third Proportional to 14,754,699,252 and 31,865,220,648

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Solution

The third proportional to 14,754,699,252 and 31,865,220,648 is: 68,818,230,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754,699,252 : 31,865,220,648 = 31,865,220,648 : x
  2. Step 2: Convert to fraction form
    14,754,699,252/31,865,220,648 = 31,865,220,648/x
  3. Step 3: Cross multiply
    14,754,699,252x = 31,865,220,648 × 31,865,220,648
  4. Step 4: Simplify right side
    14,754,699,252x = 1,015,392,286,945,725,513,728
  5. Step 5: Solve for x
    x = 1,015,392,286,945,725,513,728/14,754,699,252
  6. Step 6: Final answer
    x = 68,818,230,016.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.