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Finding the Third Proportional to 645,521,578,032 and 1,412,645,271,360

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Solution

The third proportional to 645,521,578,032 and 1,412,645,271,360 is: 3,091,401,946,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,521,578,032 : 1,412,645,271,360 = 1,412,645,271,360 : x
  2. Step 2: Convert to fraction form
    645,521,578,032/1,412,645,271,360 = 1,412,645,271,360/x
  3. Step 3: Cross multiply
    645,521,578,032x = 1,412,645,271,360 × 1,412,645,271,360
  4. Step 4: Simplify right side
    645,521,578,032x = 1,995,566,662,695,767,903,305,728
  5. Step 5: Solve for x
    x = 1,995,566,662,695,767,903,305,728/645,521,578,032
  6. Step 6: Final answer
    x = 3,091,401,946,282.95

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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.