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Finding the Third Proportional to 1,560,040,911,807 and 3,163,946,626,957

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Solution

The third proportional to 1,560,040,911,807 and 3,163,946,626,957 is: 6,416,856,239,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,040,911,807 : 3,163,946,626,957 = 3,163,946,626,957 : x
  2. Step 2: Convert to fraction form
    1,560,040,911,807/3,163,946,626,957 = 3,163,946,626,957/x
  3. Step 3: Cross multiply
    1,560,040,911,807x = 3,163,946,626,957 × 3,163,946,626,957
  4. Step 4: Simplify right side
    1,560,040,911,807x = 10,010,558,258,232,577,172,176,896
  5. Step 5: Solve for x
    x = 10,010,558,258,232,577,172,176,896/1,560,040,911,807
  6. Step 6: Final answer
    x = 6,416,856,239,133.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.