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Finding the Third Proportional to 13,114,407,010 and 20,145,333,282

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Solution

The third proportional to 13,114,407,010 and 20,145,333,282 is: 30,945,696,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114,407,010 : 20,145,333,282 = 20,145,333,282 : x
  2. Step 2: Convert to fraction form
    13,114,407,010/20,145,333,282 = 20,145,333,282/x
  3. Step 3: Cross multiply
    13,114,407,010x = 20,145,333,282 × 20,145,333,282
  4. Step 4: Simplify right side
    13,114,407,010x = 405,834,453,042,856,919,040
  5. Step 5: Solve for x
    x = 405,834,453,042,856,919,040/13,114,407,010
  6. Step 6: Final answer
    x = 30,945,696,037.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.