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Finding the Third Proportional to 1,584,083,218 and 3,298,529,785

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Solution

The third proportional to 1,584,083,218 and 3,298,529,785 is: 6,868,514,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,083,218 : 3,298,529,785 = 3,298,529,785 : x
  2. Step 2: Convert to fraction form
    1,584,083,218/3,298,529,785 = 3,298,529,785/x
  3. Step 3: Cross multiply
    1,584,083,218x = 3,298,529,785 × 3,298,529,785
  4. Step 4: Simplify right side
    1,584,083,218x = 10,880,298,742,532,147,200
  5. Step 5: Solve for x
    x = 10,880,298,742,532,147,200/1,584,083,218
  6. Step 6: Final answer
    x = 6,868,514,620.25

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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.