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Finding the Third Proportional to 2,058,404,548 and 3,180,576,306

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Solution

The third proportional to 2,058,404,548 and 3,180,576,306 is: 4,914,517,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,404,548 : 3,180,576,306 = 3,180,576,306 : x
  2. Step 2: Convert to fraction form
    2,058,404,548/3,180,576,306 = 3,180,576,306/x
  3. Step 3: Cross multiply
    2,058,404,548x = 3,180,576,306 × 3,180,576,306
  4. Step 4: Simplify right side
    2,058,404,548x = 10,116,065,638,288,605,184
  5. Step 5: Solve for x
    x = 10,116,065,638,288,605,184/2,058,404,548
  6. Step 6: Final answer
    x = 4,914,517,725.93

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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.