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Finding the Third Proportional to 1,274,208,466,652 and 2,730,165,370,612

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Solution

The third proportional to 1,274,208,466,652 and 2,730,165,370,612 is: 5,849,751,548,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,208,466,652 : 2,730,165,370,612 = 2,730,165,370,612 : x
  2. Step 2: Convert to fraction form
    1,274,208,466,652/2,730,165,370,612 = 2,730,165,370,612/x
  3. Step 3: Cross multiply
    1,274,208,466,652x = 2,730,165,370,612 × 2,730,165,370,612
  4. Step 4: Simplify right side
    1,274,208,466,652x = 7,453,802,950,888,959,579,783,168
  5. Step 5: Solve for x
    x = 7,453,802,950,888,959,579,783,168/1,274,208,466,652
  6. Step 6: Final answer
    x = 5,849,751,548,484.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.