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Finding the Third Proportional to 355,219,773,686 and 767,055,418,722

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Solution

The third proportional to 355,219,773,686 and 767,055,418,722 is: 1,656,366,168,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,219,773,686 : 767,055,418,722 = 767,055,418,722 : x
  2. Step 2: Convert to fraction form
    355,219,773,686/767,055,418,722 = 767,055,418,722/x
  3. Step 3: Cross multiply
    355,219,773,686x = 767,055,418,722 × 767,055,418,722
  4. Step 4: Simplify right side
    355,219,773,686x = 588,374,015,390,782,779,817,984
  5. Step 5: Solve for x
    x = 588,374,015,390,782,779,817,984/355,219,773,686
  6. Step 6: Final answer
    x = 1,656,366,168,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.