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Finding the Third Proportional to 580,573,533,266 and 807,241,091,134

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Solution

The third proportional to 580,573,533,266 and 807,241,091,134 is: 1,122,404,212,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,573,533,266 : 807,241,091,134 = 807,241,091,134 : x
  2. Step 2: Convert to fraction form
    580,573,533,266/807,241,091,134 = 807,241,091,134/x
  3. Step 3: Cross multiply
    580,573,533,266x = 807,241,091,134 × 807,241,091,134
  4. Step 4: Simplify right side
    580,573,533,266x = 651,638,179,215,210,830,626,816
  5. Step 5: Solve for x
    x = 651,638,179,215,210,830,626,816/580,573,533,266
  6. Step 6: Final answer
    x = 1,122,404,212,175.22

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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.