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Finding the Third Proportional to 303,669,853,503.75 and 653,040,975,802.50

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Solution

The third proportional to 303,669,853,503.75 and 653,040,975,802.50 is: 1,404,362,373,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,853,503.75 : 653,040,975,802.50 = 653,040,975,802.50 : x
  2. Step 2: Convert to fraction form
    303,669,853,503.75/653,040,975,802.50 = 653,040,975,802.50/x
  3. Step 3: Cross multiply
    303,669,853,503.75x = 653,040,975,802.50 × 653,040,975,802.50
  4. Step 4: Simplify right side
    303,669,853,503.75x = 426,462,516,077,081,361,645,568
  5. Step 5: Solve for x
    x = 426,462,516,077,081,361,645,568/303,669,853,503.75
  6. Step 6: Final answer
    x = 1,404,362,373,006.56

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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.