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Finding the Third Proportional to 10,742,826,276 and 23,118,239,796

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Solution

The third proportional to 10,742,826,276 and 23,118,239,796 is: 49,749,758,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742,826,276 : 23,118,239,796 = 23,118,239,796 : x
  2. Step 2: Convert to fraction form
    10,742,826,276/23,118,239,796 = 23,118,239,796/x
  3. Step 3: Cross multiply
    10,742,826,276x = 23,118,239,796 × 23,118,239,796
  4. Step 4: Simplify right side
    10,742,826,276x = 534,453,011,265,358,135,296
  5. Step 5: Solve for x
    x = 534,453,011,265,358,135,296/10,742,826,276
  6. Step 6: Final answer
    x = 49,749,758,353.57

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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.