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Finding the Third Proportional to 388,032,120 and 826,860,960

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Solution

The third proportional to 388,032,120 and 826,860,960 is: 1,761,965,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,032,120 : 826,860,960 = 826,860,960 : x
  2. Step 2: Convert to fraction form
    388,032,120/826,860,960 = 826,860,960/x
  3. Step 3: Cross multiply
    388,032,120x = 826,860,960 × 826,860,960
  4. Step 4: Simplify right side
    388,032,120x = 683,699,047,172,121,600
  5. Step 5: Solve for x
    x = 683,699,047,172,121,600/388,032,120
  6. Step 6: Final answer
    x = 1,761,965,084.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.