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Finding the Third Proportional to 2,464,620,699 and 5,480,295,414

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Solution

The third proportional to 2,464,620,699 and 5,480,295,414 is: 12,185,906,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,620,699 : 5,480,295,414 = 5,480,295,414 : x
  2. Step 2: Convert to fraction form
    2,464,620,699/5,480,295,414 = 5,480,295,414/x
  3. Step 3: Cross multiply
    2,464,620,699x = 5,480,295,414 × 5,480,295,414
  4. Step 4: Simplify right side
    2,464,620,699x = 30,033,637,824,709,431,296
  5. Step 5: Solve for x
    x = 30,033,637,824,709,431,296/2,464,620,699
  6. Step 6: Final answer
    x = 12,185,906,673.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.