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Finding the Third Proportional to 1,197,805,660,620 and 2,663,423,572,938

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Solution

The third proportional to 1,197,805,660,620 and 2,663,423,572,938 is: 5,922,350,646,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,805,660,620 : 2,663,423,572,938 = 2,663,423,572,938 : x
  2. Step 2: Convert to fraction form
    1,197,805,660,620/2,663,423,572,938 = 2,663,423,572,938/x
  3. Step 3: Cross multiply
    1,197,805,660,620x = 2,663,423,572,938 × 2,663,423,572,938
  4. Step 4: Simplify right side
    1,197,805,660,620x = 7,093,825,128,881,821,820,387,328
  5. Step 5: Solve for x
    x = 7,093,825,128,881,821,820,387,328/1,197,805,660,620
  6. Step 6: Final answer
    x = 5,922,350,646,773.51

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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.