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Finding the Third Proportional to 328,033,813 and 669,265,069.50

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Solution

The third proportional to 328,033,813 and 669,265,069.50 is: 1,365,455,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,033,813 : 669,265,069.50 = 669,265,069.50 : x
  2. Step 2: Convert to fraction form
    328,033,813/669,265,069.50 = 669,265,069.50/x
  3. Step 3: Cross multiply
    328,033,813x = 669,265,069.50 × 669,265,069.50
  4. Step 4: Simplify right side
    328,033,813x = 447,915,733,252,839,808
  5. Step 5: Solve for x
    x = 447,915,733,252,839,808/328,033,813
  6. Step 6: Final answer
    x = 1,365,455,985.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.