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Finding the Third Proportional to 1,082,257,257 and 1,673,085,564

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Solution

The third proportional to 1,082,257,257 and 1,673,085,564 is: 2,586,460,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,257,257 : 1,673,085,564 = 1,673,085,564 : x
  2. Step 2: Convert to fraction form
    1,082,257,257/1,673,085,564 = 1,673,085,564/x
  3. Step 3: Cross multiply
    1,082,257,257x = 1,673,085,564 × 1,673,085,564
  4. Step 4: Simplify right side
    1,082,257,257x = 2,799,215,304,465,198,080
  5. Step 5: Solve for x
    x = 2,799,215,304,465,198,080/1,082,257,257
  6. Step 6: Final answer
    x = 2,586,460,184.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.