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Finding the Third Proportional to 339,709,813,439 and 527,464,247,173.50

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Solution

The third proportional to 339,709,813,439 and 527,464,247,173.50 is: 818,988,798,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,709,813,439 : 527,464,247,173.50 = 527,464,247,173.50 : x
  2. Step 2: Convert to fraction form
    339,709,813,439/527,464,247,173.50 = 527,464,247,173.50/x
  3. Step 3: Cross multiply
    339,709,813,439x = 527,464,247,173.50 × 527,464,247,173.50
  4. Step 4: Simplify right side
    339,709,813,439x = 278,218,532,046,307,105,701,888
  5. Step 5: Solve for x
    x = 278,218,532,046,307,105,701,888/339,709,813,439
  6. Step 6: Final answer
    x = 818,988,798,792.14

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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.