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Finding the Third Proportional to 43,045,486,638 and 60,591,116,164

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Solution

The third proportional to 43,045,486,638 and 60,591,116,164 is: 85,288,462,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045,486,638 : 60,591,116,164 = 60,591,116,164 : x
  2. Step 2: Convert to fraction form
    43,045,486,638/60,591,116,164 = 60,591,116,164/x
  3. Step 3: Cross multiply
    43,045,486,638x = 60,591,116,164 × 60,591,116,164
  4. Step 4: Simplify right side
    43,045,486,638x = 3,671,283,357,999,342,026,752
  5. Step 5: Solve for x
    x = 3,671,283,357,999,342,026,752/43,045,486,638
  6. Step 6: Final answer
    x = 85,288,462,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.