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Finding the Third Proportional to 1,584,083,216 and 3,298,529,781

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Solution

The third proportional to 1,584,083,216 and 3,298,529,781 is: 6,868,514,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,083,216 : 3,298,529,781 = 3,298,529,781 : x
  2. Step 2: Convert to fraction form
    1,584,083,216/3,298,529,781 = 3,298,529,781/x
  3. Step 3: Cross multiply
    1,584,083,216x = 3,298,529,781 × 3,298,529,781
  4. Step 4: Simplify right side
    1,584,083,216x = 10,880,298,716,143,908,864
  5. Step 5: Solve for x
    x = 10,880,298,716,143,908,864/1,584,083,216
  6. Step 6: Final answer
    x = 6,868,514,612.27

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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.