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Finding the Third Proportional to 33,481,913.63 and 71,746,796.25

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Solution

The third proportional to 33,481,913.63 and 71,746,796.25 is: 153,742,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481,913.63 : 71,746,796.25 = 71,746,796.25 : x
  2. Step 2: Convert to fraction form
    33,481,913.63/71,746,796.25 = 71,746,796.25/x
  3. Step 3: Cross multiply
    33,481,913.63x = 71,746,796.25 × 71,746,796.25
  4. Step 4: Simplify right side
    33,481,913.63x = 5,147,602,772,139,014
  5. Step 5: Solve for x
    x = 5,147,602,772,139,014/33,481,913.63
  6. Step 6: Final answer
    x = 153,742,788.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.