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Finding the Third Proportional to 2,094,570,209 and 4,556,884,198

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Solution

The third proportional to 2,094,570,209 and 4,556,884,198 is: 9,913,820,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,570,209 : 4,556,884,198 = 4,556,884,198 : x
  2. Step 2: Convert to fraction form
    2,094,570,209/4,556,884,198 = 4,556,884,198/x
  3. Step 3: Cross multiply
    2,094,570,209x = 4,556,884,198 × 4,556,884,198
  4. Step 4: Simplify right side
    2,094,570,209x = 20,765,193,593,982,103,552
  5. Step 5: Solve for x
    x = 20,765,193,593,982,103,552/2,094,570,209
  6. Step 6: Final answer
    x = 9,913,820,746.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.