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Finding the Third Proportional to 1,237,101,846,075 and 2,663,271,363,893

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Solution

The third proportional to 1,237,101,846,075 and 2,663,271,363,893 is: 5,733,573,496,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,101,846,075 : 2,663,271,363,893 = 2,663,271,363,893 : x
  2. Step 2: Convert to fraction form
    1,237,101,846,075/2,663,271,363,893 = 2,663,271,363,893/x
  3. Step 3: Cross multiply
    1,237,101,846,075x = 2,663,271,363,893 × 2,663,271,363,893
  4. Step 4: Simplify right side
    1,237,101,846,075x = 7,093,014,357,732,479,972,933,632
  5. Step 5: Solve for x
    x = 7,093,014,357,732,479,972,933,632/1,237,101,846,075
  6. Step 6: Final answer
    x = 5,733,573,496,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.