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Finding the Third Proportional to 21,693,379,863,924 and 46,837,705,043,608

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Solution

The third proportional to 21,693,379,863,924 and 46,837,705,043,608 is: 101,126,271,125,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693,379,863,924 : 46,837,705,043,608 = 46,837,705,043,608 : x
  2. Step 2: Convert to fraction form
    21,693,379,863,924/46,837,705,043,608 = 46,837,705,043,608/x
  3. Step 3: Cross multiply
    21,693,379,863,924x = 46,837,705,043,608 × 46,837,705,043,608
  4. Step 4: Simplify right side
    21,693,379,863,924x = 2,193,770,613,752,022,283,770,134,528
  5. Step 5: Solve for x
    x = 2,193,770,613,752,022,283,770,134,528/21,693,379,863,924
  6. Step 6: Final answer
    x = 101,126,271,125,701.98

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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.