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Finding the Third Proportional to 25,294,742,682 and 56,245,028,809.50

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Solution

The third proportional to 25,294,742,682 and 56,245,028,809.50 is: 125,065,643,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294,742,682 : 56,245,028,809.50 = 56,245,028,809.50 : x
  2. Step 2: Convert to fraction form
    25,294,742,682/56,245,028,809.50 = 56,245,028,809.50/x
  3. Step 3: Cross multiply
    25,294,742,682x = 56,245,028,809.50 × 56,245,028,809.50
  4. Step 4: Simplify right side
    25,294,742,682x = 3,163,503,265,781,484,879,872
  5. Step 5: Solve for x
    x = 3,163,503,265,781,484,879,872/25,294,742,682
  6. Step 6: Final answer
    x = 125,065,643,305.90

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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.