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Finding the Third Proportional to 2,718,329,419,360 and 5,889,109,021,232

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Solution

The third proportional to 2,718,329,419,360 and 5,889,109,021,232 is: 12,758,426,118,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,329,419,360 : 5,889,109,021,232 = 5,889,109,021,232 : x
  2. Step 2: Convert to fraction form
    2,718,329,419,360/5,889,109,021,232 = 5,889,109,021,232/x
  3. Step 3: Cross multiply
    2,718,329,419,360x = 5,889,109,021,232 × 5,889,109,021,232
  4. Step 4: Simplify right side
    2,718,329,419,360x = 34,681,605,063,956,125,255,204,864
  5. Step 5: Solve for x
    x = 34,681,605,063,956,125,255,204,864/2,718,329,419,360
  6. Step 6: Final answer
    x = 12,758,426,118,980.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.