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Finding the Third Proportional to 998,334,051.75 and 1,557,938,431.13

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Solution

The third proportional to 998,334,051.75 and 1,557,938,431.13 is: 2,431,222,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,334,051.75 : 1,557,938,431.13 = 1,557,938,431.13 : x
  2. Step 2: Convert to fraction form
    998,334,051.75/1,557,938,431.13 = 1,557,938,431.13/x
  3. Step 3: Cross multiply
    998,334,051.75x = 1,557,938,431.13 × 1,557,938,431.13
  4. Step 4: Simplify right side
    998,334,051.75x = 2,427,172,155,176,226,304
  5. Step 5: Solve for x
    x = 2,427,172,155,176,226,304/998,334,051.75
  6. Step 6: Final answer
    x = 2,431,222,445.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.