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Finding the Third Proportional to 411,568,672.50 and 882,816,120

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Solution

The third proportional to 411,568,672.50 and 882,816,120 is: 1,893,643,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,568,672.50 : 882,816,120 = 882,816,120 : x
  2. Step 2: Convert to fraction form
    411,568,672.50/882,816,120 = 882,816,120/x
  3. Step 3: Cross multiply
    411,568,672.50x = 882,816,120 × 882,816,120
  4. Step 4: Simplify right side
    411,568,672.50x = 779,364,301,731,854,336
  5. Step 5: Solve for x
    x = 779,364,301,731,854,336/411,568,672.50
  6. Step 6: Final answer
    x = 1,893,643,403.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.