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Finding the Third Proportional to 306,652,597.88 and 669,505,078.13

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Solution

The third proportional to 306,652,597.88 and 669,505,078.13 is: 1,461,709,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,652,597.88 : 669,505,078.13 = 669,505,078.13 : x
  2. Step 2: Convert to fraction form
    306,652,597.88/669,505,078.13 = 669,505,078.13/x
  3. Step 3: Cross multiply
    306,652,597.88x = 669,505,078.13 × 669,505,078.13
  4. Step 4: Simplify right side
    306,652,597.88x = 448,237,049,635,162,368
  5. Step 5: Solve for x
    x = 448,237,049,635,162,368/306,652,597.88
  6. Step 6: Final answer
    x = 1,461,709,611.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.