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Finding the Third Proportional to 339,709,813,434 and 527,464,247,166

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Solution

The third proportional to 339,709,813,434 and 527,464,247,166 is: 818,988,798,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,709,813,434 : 527,464,247,166 = 527,464,247,166 : x
  2. Step 2: Convert to fraction form
    339,709,813,434/527,464,247,166 = 527,464,247,166/x
  3. Step 3: Cross multiply
    339,709,813,434x = 527,464,247,166 × 527,464,247,166
  4. Step 4: Simplify right side
    339,709,813,434x = 278,218,532,038,395,138,408,448
  5. Step 5: Solve for x
    x = 278,218,532,038,395,138,408,448/339,709,813,434
  6. Step 6: Final answer
    x = 818,988,798,780.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.