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Finding the Third Proportional to 611,114,737.50 and 969,265,815.75

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Solution

The third proportional to 611,114,737.50 and 969,265,815.75 is: 1,537,315,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,114,737.50 : 969,265,815.75 = 969,265,815.75 : x
  2. Step 2: Convert to fraction form
    611,114,737.50/969,265,815.75 = 969,265,815.75/x
  3. Step 3: Cross multiply
    611,114,737.50x = 969,265,815.75 × 969,265,815.75
  4. Step 4: Simplify right side
    611,114,737.50x = 939,476,221,581,512,960
  5. Step 5: Solve for x
    x = 939,476,221,581,512,960/611,114,737.50
  6. Step 6: Final answer
    x = 1,537,315,603.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.