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Finding the Third Proportional to 11,756,137,368 and 25,382,420,718

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Solution

The third proportional to 11,756,137,368 and 25,382,420,718 is: 54,802,632,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756,137,368 : 25,382,420,718 = 25,382,420,718 : x
  2. Step 2: Convert to fraction form
    11,756,137,368/25,382,420,718 = 25,382,420,718/x
  3. Step 3: Cross multiply
    11,756,137,368x = 25,382,420,718 × 25,382,420,718
  4. Step 4: Simplify right side
    11,756,137,368x = 644,267,281,505,555,578,880
  5. Step 5: Solve for x
    x = 644,267,281,505,555,578,880/11,756,137,368
  6. Step 6: Final answer
    x = 54,802,632,985.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.