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Finding the Third Proportional to 618,339,678 and 1,333,527,132

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Solution

The third proportional to 618,339,678 and 1,333,527,132 is: 2,875,918,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,339,678 : 1,333,527,132 = 1,333,527,132 : x
  2. Step 2: Convert to fraction form
    618,339,678/1,333,527,132 = 1,333,527,132/x
  3. Step 3: Cross multiply
    618,339,678x = 1,333,527,132 × 1,333,527,132
  4. Step 4: Simplify right side
    618,339,678x = 1,778,294,611,780,145,408
  5. Step 5: Solve for x
    x = 1,778,294,611,780,145,408/618,339,678
  6. Step 6: Final answer
    x = 2,875,918,649.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.