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Finding the Third Proportional to 12,407,961,190,259 and 27,153,320,992,628

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Solution

The third proportional to 12,407,961,190,259 and 27,153,320,992,628 is: 59,421,755,889,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,961,190,259 : 27,153,320,992,628 = 27,153,320,992,628 : x
  2. Step 2: Convert to fraction form
    12,407,961,190,259/27,153,320,992,628 = 27,153,320,992,628/x
  3. Step 3: Cross multiply
    12,407,961,190,259x = 27,153,320,992,628 × 27,153,320,992,628
  4. Step 4: Simplify right side
    12,407,961,190,259x = 737,302,840,928,692,435,945,521,152
  5. Step 5: Solve for x
    x = 737,302,840,928,692,435,945,521,152/12,407,961,190,259
  6. Step 6: Final answer
    x = 59,421,755,889,075.45

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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.