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Finding the Third Proportional to 2,617,552,304 and 5,727,652,648

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Solution

The third proportional to 2,617,552,304 and 5,727,652,648 is: 12,533,084,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,552,304 : 5,727,652,648 = 5,727,652,648 : x
  2. Step 2: Convert to fraction form
    2,617,552,304/5,727,652,648 = 5,727,652,648/x
  3. Step 3: Cross multiply
    2,617,552,304x = 5,727,652,648 × 5,727,652,648
  4. Step 4: Simplify right side
    2,617,552,304x = 32,806,004,856,141,410,304
  5. Step 5: Solve for x
    x = 32,806,004,856,141,410,304/2,617,552,304
  6. Step 6: Final answer
    x = 12,533,084,747.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.