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Finding the Third Proportional to 141,578,718,312 and 303,351,707,496

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Solution

The third proportional to 141,578,718,312 and 303,351,707,496 is: 649,972,393,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,578,718,312 : 303,351,707,496 = 303,351,707,496 : x
  2. Step 2: Convert to fraction form
    141,578,718,312/303,351,707,496 = 303,351,707,496/x
  3. Step 3: Cross multiply
    141,578,718,312x = 303,351,707,496 × 303,351,707,496
  4. Step 4: Simplify right side
    141,578,718,312x = 92,022,258,440,738,736,963,584
  5. Step 5: Solve for x
    x = 92,022,258,440,738,736,963,584/141,578,718,312
  6. Step 6: Final answer
    x = 649,972,393,717.73

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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.