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Finding the Third Proportional to 1,004,367,017 and 2,128,214,209

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Solution

The third proportional to 1,004,367,017 and 2,128,214,209 is: 4,509,602,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,367,017 : 2,128,214,209 = 2,128,214,209 : x
  2. Step 2: Convert to fraction form
    1,004,367,017/2,128,214,209 = 2,128,214,209/x
  3. Step 3: Cross multiply
    1,004,367,017x = 2,128,214,209 × 2,128,214,209
  4. Step 4: Simplify right side
    1,004,367,017x = 4,529,295,719,389,495,808
  5. Step 5: Solve for x
    x = 4,529,295,719,389,495,808/1,004,367,017
  6. Step 6: Final answer
    x = 4,509,602,209.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.