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Finding the Third Proportional to 998,333,583.47 and 1,557,937,641.80

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Solution

The third proportional to 998,333,583.47 and 1,557,937,641.80 is: 2,431,221,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,333,583.47 : 1,557,937,641.80 = 1,557,937,641.80 : x
  2. Step 2: Convert to fraction form
    998,333,583.47/1,557,937,641.80 = 1,557,937,641.80/x
  3. Step 3: Cross multiply
    998,333,583.47x = 1,557,937,641.80 × 1,557,937,641.80
  4. Step 4: Simplify right side
    998,333,583.47x = 2,427,169,695,727,686,144
  5. Step 5: Solve for x
    x = 2,427,169,695,727,686,144/998,333,583.47
  6. Step 6: Final answer
    x = 2,431,221,122.80

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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.