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Finding the Third Proportional to 4,609,868,163 and 9,918,907,954.50

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Solution

The third proportional to 4,609,868,163 and 9,918,907,954.50 is: 21,342,201,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,868,163 : 9,918,907,954.50 = 9,918,907,954.50 : x
  2. Step 2: Convert to fraction form
    4,609,868,163/9,918,907,954.50 = 9,918,907,954.50/x
  3. Step 3: Cross multiply
    4,609,868,163x = 9,918,907,954.50 × 9,918,907,954.50
  4. Step 4: Simplify right side
    4,609,868,163x = 98,384,735,009,843,380,224
  5. Step 5: Solve for x
    x = 98,384,735,009,843,380,224/4,609,868,163
  6. Step 6: Final answer
    x = 21,342,201,453.72

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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.