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Finding the Third Proportional to 25,294,742,676 and 56,245,028,796

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Solution

The third proportional to 25,294,742,676 and 56,245,028,796 is: 125,065,643,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294,742,676 : 56,245,028,796 = 56,245,028,796 : x
  2. Step 2: Convert to fraction form
    25,294,742,676/56,245,028,796 = 56,245,028,796/x
  3. Step 3: Cross multiply
    25,294,742,676x = 56,245,028,796 × 56,245,028,796
  4. Step 4: Simplify right side
    25,294,742,676x = 3,163,503,264,262,868,959,232
  5. Step 5: Solve for x
    x = 3,163,503,264,262,868,959,232/25,294,742,676
  6. Step 6: Final answer
    x = 125,065,643,275.53

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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.