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Finding the Third Proportional to 364,047,896 and 802,306,478

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Solution

The third proportional to 364,047,896 and 802,306,478 is: 1,768,162,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047,896 : 802,306,478 = 802,306,478 : x
  2. Step 2: Convert to fraction form
    364,047,896/802,306,478 = 802,306,478/x
  3. Step 3: Cross multiply
    364,047,896x = 802,306,478 × 802,306,478
  4. Step 4: Simplify right side
    364,047,896x = 643,695,684,640,764,544
  5. Step 5: Solve for x
    x = 643,695,684,640,764,544/364,047,896
  6. Step 6: Final answer
    x = 1,768,162,078.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.