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Finding the Third Proportional to 672,877,698,898 and 1,447,809,725,926

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Solution

The third proportional to 672,877,698,898 and 1,447,809,725,926 is: 3,115,206,531,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,877,698,898 : 1,447,809,725,926 = 1,447,809,725,926 : x
  2. Step 2: Convert to fraction form
    672,877,698,898/1,447,809,725,926 = 1,447,809,725,926/x
  3. Step 3: Cross multiply
    672,877,698,898x = 1,447,809,725,926 × 1,447,809,725,926
  4. Step 4: Simplify right side
    672,877,698,898x = 2,096,153,002,485,919,139,233,792
  5. Step 5: Solve for x
    x = 2,096,153,002,485,919,139,233,792/672,877,698,898
  6. Step 6: Final answer
    x = 3,115,206,531,467.57

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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.