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Finding the Third Proportional to 10,774,393,860 and 25,173,845,656

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Solution

The third proportional to 10,774,393,860 and 25,173,845,656 is: 58,817,462,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,393,860 : 25,173,845,656 = 25,173,845,656 : x
  2. Step 2: Convert to fraction form
    10,774,393,860/25,173,845,656 = 25,173,845,656/x
  3. Step 3: Cross multiply
    10,774,393,860x = 25,173,845,656 × 25,173,845,656
  4. Step 4: Simplify right side
    10,774,393,860x = 633,722,505,112,110,104,576
  5. Step 5: Solve for x
    x = 633,722,505,112,110,104,576/10,774,393,860
  6. Step 6: Final answer
    x = 58,817,462,341.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.