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Finding the Third Proportional to 580,573,534,588 and 807,241,093,426

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Solution

The third proportional to 580,573,534,588 and 807,241,093,426 is: 1,122,404,215,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,573,534,588 : 807,241,093,426 = 807,241,093,426 : x
  2. Step 2: Convert to fraction form
    580,573,534,588/807,241,093,426 = 807,241,093,426/x
  3. Step 3: Cross multiply
    580,573,534,588x = 807,241,093,426 × 807,241,093,426
  4. Step 4: Simplify right side
    580,573,534,588x = 651,638,182,915,604,060,569,600
  5. Step 5: Solve for x
    x = 651,638,182,915,604,060,569,600/580,573,534,588
  6. Step 6: Final answer
    x = 1,122,404,215,993.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.