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Finding the Third Proportional to 333,884,166.75 and 713,619,137.25

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Solution

The third proportional to 333,884,166.75 and 713,619,137.25 is: 1,525,236,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,884,166.75 : 713,619,137.25 = 713,619,137.25 : x
  2. Step 2: Convert to fraction form
    333,884,166.75/713,619,137.25 = 713,619,137.25/x
  3. Step 3: Cross multiply
    333,884,166.75x = 713,619,137.25 × 713,619,137.25
  4. Step 4: Simplify right side
    333,884,166.75x = 509,252,273,049,434,368
  5. Step 5: Solve for x
    x = 509,252,273,049,434,368/333,884,166.75
  6. Step 6: Final answer
    x = 1,525,236,365.67

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Why These Related Problems?

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