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Finding the Third Proportional to 12,763,709,824 and 19,606,621,056

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Solution

The third proportional to 12,763,709,824 and 19,606,621,056 is: 30,118,170,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763,709,824 : 19,606,621,056 = 19,606,621,056 : x
  2. Step 2: Convert to fraction form
    12,763,709,824/19,606,621,056 = 19,606,621,056/x
  3. Step 3: Cross multiply
    12,763,709,824x = 19,606,621,056 × 19,606,621,056
  4. Step 4: Simplify right side
    12,763,709,824x = 384,419,589,233,582,538,752
  5. Step 5: Solve for x
    x = 384,419,589,233,582,538,752/12,763,709,824
  6. Step 6: Final answer
    x = 30,118,170,542.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.