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Finding the Third Proportional to 580,573,534,358 and 807,241,093,464

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Solution

The third proportional to 580,573,534,358 and 807,241,093,464 is: 1,122,404,216,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,573,534,358 : 807,241,093,464 = 807,241,093,464 : x
  2. Step 2: Convert to fraction form
    580,573,534,358/807,241,093,464 = 807,241,093,464/x
  3. Step 3: Cross multiply
    580,573,534,358x = 807,241,093,464 × 807,241,093,464
  4. Step 4: Simplify right side
    580,573,534,358x = 651,638,182,976,954,447,167,488
  5. Step 5: Solve for x
    x = 651,638,182,976,954,447,167,488/580,573,534,358
  6. Step 6: Final answer
    x = 1,122,404,216,543.45

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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.