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Finding the Third Proportional to 248,739,065,568 and 537,113,052,864

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Solution

The third proportional to 248,739,065,568 and 537,113,052,864 is: 1,159,811,511,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,739,065,568 : 537,113,052,864 = 537,113,052,864 : x
  2. Step 2: Convert to fraction form
    248,739,065,568/537,113,052,864 = 537,113,052,864/x
  3. Step 3: Cross multiply
    248,739,065,568x = 537,113,052,864 × 537,113,052,864
  4. Step 4: Simplify right side
    248,739,065,568x = 288,490,431,556,886,070,296,576
  5. Step 5: Solve for x
    x = 288,490,431,556,886,070,296,576/248,739,065,568
  6. Step 6: Final answer
    x = 1,159,811,511,304.48

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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.