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Finding the Third Proportional to 63,673,858,138 and 136,292,380,064

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Solution

The third proportional to 63,673,858,138 and 136,292,380,064 is: 291,730,600,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,673,858,138 : 136,292,380,064 = 136,292,380,064 : x
  2. Step 2: Convert to fraction form
    63,673,858,138/136,292,380,064 = 136,292,380,064/x
  3. Step 3: Cross multiply
    63,673,858,138x = 136,292,380,064 × 136,292,380,064
  4. Step 4: Simplify right side
    63,673,858,138x = 18,575,612,863,509,824,536,576
  5. Step 5: Solve for x
    x = 18,575,612,863,509,824,536,576/63,673,858,138
  6. Step 6: Final answer
    x = 291,730,600,386.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.