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Finding the Third Proportional to 438,580,994,736 and 591,748,740,936

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Solution

The third proportional to 438,580,994,736 and 591,748,740,936 is: 798,407,994,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,580,994,736 : 591,748,740,936 = 591,748,740,936 : x
  2. Step 2: Convert to fraction form
    438,580,994,736/591,748,740,936 = 591,748,740,936/x
  3. Step 3: Cross multiply
    438,580,994,736x = 591,748,740,936 × 591,748,740,936
  4. Step 4: Simplify right side
    438,580,994,736x = 350,166,572,399,341,275,709,440
  5. Step 5: Solve for x
    x = 350,166,572,399,341,275,709,440/438,580,994,736
  6. Step 6: Final answer
    x = 798,407,994,423.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.