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Finding the Third Proportional to 438,580,994,738 and 591,748,740,939

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Solution

The third proportional to 438,580,994,738 and 591,748,740,939 is: 798,407,994,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,580,994,738 : 591,748,740,939 = 591,748,740,939 : x
  2. Step 2: Convert to fraction form
    438,580,994,738/591,748,740,939 = 591,748,740,939/x
  3. Step 3: Cross multiply
    438,580,994,738x = 591,748,740,939 × 591,748,740,939
  4. Step 4: Simplify right side
    438,580,994,738x = 350,166,572,402,891,737,268,224
  5. Step 5: Solve for x
    x = 350,166,572,402,891,737,268,224/438,580,994,738
  6. Step 6: Final answer
    x = 798,407,994,427.75

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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.