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Finding the Third Proportional to 2,540,514,075 and 5,289,806,580

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Solution

The third proportional to 2,540,514,075 and 5,289,806,580 is: 11,014,327,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,514,075 : 5,289,806,580 = 5,289,806,580 : x
  2. Step 2: Convert to fraction form
    2,540,514,075/5,289,806,580 = 5,289,806,580/x
  3. Step 3: Cross multiply
    2,540,514,075x = 5,289,806,580 × 5,289,806,580
  4. Step 4: Simplify right side
    2,540,514,075x = 27,982,053,653,811,298,304
  5. Step 5: Solve for x
    x = 27,982,053,653,811,298,304/2,540,514,075
  6. Step 6: Final answer
    x = 11,014,327,347.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.