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Finding the Third Proportional to 116,787,782.25 and 275,688,527.63

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Solution

The third proportional to 116,787,782.25 and 275,688,527.63 is: 650,788,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,787,782.25 : 275,688,527.63 = 275,688,527.63 : x
  2. Step 2: Convert to fraction form
    116,787,782.25/275,688,527.63 = 275,688,527.63/x
  3. Step 3: Cross multiply
    116,787,782.25x = 275,688,527.63 × 275,688,527.63
  4. Step 4: Simplify right side
    116,787,782.25x = 76,004,164,264,040,384
  5. Step 5: Solve for x
    x = 76,004,164,264,040,384/116,787,782.25
  6. Step 6: Final answer
    x = 650,788,659.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.