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Finding the Third Proportional to 1,237,101,846,078 and 2,663,271,363,900

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Solution

The third proportional to 1,237,101,846,078 and 2,663,271,363,900 is: 5,733,573,497,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,101,846,078 : 2,663,271,363,900 = 2,663,271,363,900 : x
  2. Step 2: Convert to fraction form
    1,237,101,846,078/2,663,271,363,900 = 2,663,271,363,900/x
  3. Step 3: Cross multiply
    1,237,101,846,078x = 2,663,271,363,900 × 2,663,271,363,900
  4. Step 4: Simplify right side
    1,237,101,846,078x = 7,093,014,357,769,766,731,513,856
  5. Step 5: Solve for x
    x = 7,093,014,357,769,766,731,513,856/1,237,101,846,078
  6. Step 6: Final answer
    x = 5,733,573,497,005.80

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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.