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Finding the Third Proportional to 1,503,842,722 and 2,298,987,952

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Solution

The third proportional to 1,503,842,722 and 2,298,987,952 is: 3,514,560,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,842,722 : 2,298,987,952 = 2,298,987,952 : x
  2. Step 2: Convert to fraction form
    1,503,842,722/2,298,987,952 = 2,298,987,952/x
  3. Step 3: Cross multiply
    1,503,842,722x = 2,298,987,952 × 2,298,987,952
  4. Step 4: Simplify right side
    1,503,842,722x = 5,285,345,603,441,154,048
  5. Step 5: Solve for x
    x = 5,285,345,603,441,154,048/1,503,842,722
  6. Step 6: Final answer
    x = 3,514,560,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.