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Finding the Third Proportional to 1,197,805,660,615 and 2,663,423,572,925

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Solution

The third proportional to 1,197,805,660,615 and 2,663,423,572,925 is: 5,922,350,646,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,805,660,615 : 2,663,423,572,925 = 2,663,423,572,925 : x
  2. Step 2: Convert to fraction form
    1,197,805,660,615/2,663,423,572,925 = 2,663,423,572,925/x
  3. Step 3: Cross multiply
    1,197,805,660,615x = 2,663,423,572,925 × 2,663,423,572,925
  4. Step 4: Simplify right side
    1,197,805,660,615x = 7,093,825,128,812,572,988,932,096
  5. Step 5: Solve for x
    x = 7,093,825,128,812,572,988,932,096/1,197,805,660,615
  6. Step 6: Final answer
    x = 5,922,350,646,740.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.