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Finding the Third Proportional to 333,982,960 and 509,612,784

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Solution

The third proportional to 333,982,960 and 509,612,784 is: 777,600,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,982,960 : 509,612,784 = 509,612,784 : x
  2. Step 2: Convert to fraction form
    333,982,960/509,612,784 = 509,612,784/x
  3. Step 3: Cross multiply
    333,982,960x = 509,612,784 × 509,612,784
  4. Step 4: Simplify right side
    333,982,960x = 259,705,189,616,230,656
  5. Step 5: Solve for x
    x = 259,705,189,616,230,656/333,982,960
  6. Step 6: Final answer
    x = 777,600,119.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.