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Finding the Third Proportional to 527,178,668 and 1,097,991,602

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Solution

The third proportional to 527,178,668 and 1,097,991,602 is: 2,286,863,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,178,668 : 1,097,991,602 = 1,097,991,602 : x
  2. Step 2: Convert to fraction form
    527,178,668/1,097,991,602 = 1,097,991,602/x
  3. Step 3: Cross multiply
    527,178,668x = 1,097,991,602 × 1,097,991,602
  4. Step 4: Simplify right side
    527,178,668x = 1,205,585,558,062,526,464
  5. Step 5: Solve for x
    x = 1,205,585,558,062,526,464/527,178,668
  6. Step 6: Final answer
    x = 2,286,863,318.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.