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Finding the Third Proportional to 10,742,826,244 and 23,118,239,726

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Solution

The third proportional to 10,742,826,244 and 23,118,239,726 is: 49,749,758,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742,826,244 : 23,118,239,726 = 23,118,239,726 : x
  2. Step 2: Convert to fraction form
    10,742,826,244/23,118,239,726 = 23,118,239,726/x
  3. Step 3: Cross multiply
    10,742,826,244x = 23,118,239,726 × 23,118,239,726
  4. Step 4: Simplify right side
    10,742,826,244x = 534,453,008,028,804,579,328
  5. Step 5: Solve for x
    x = 534,453,008,028,804,579,328/10,742,826,244
  6. Step 6: Final answer
    x = 49,749,758,200.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.