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Finding the Third Proportional to 980,488,195.03 and 2,100,855,905.16

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Solution

The third proportional to 980,488,195.03 and 2,100,855,905.16 is: 4,501,426,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,488,195.03 : 2,100,855,905.16 = 2,100,855,905.16 : x
  2. Step 2: Convert to fraction form
    980,488,195.03/2,100,855,905.16 = 2,100,855,905.16/x
  3. Step 3: Cross multiply
    980,488,195.03x = 2,100,855,905.16 × 2,100,855,905.16
  4. Step 4: Simplify right side
    980,488,195.03x = 4,413,595,534,229,676,032
  5. Step 5: Solve for x
    x = 4,413,595,534,229,676,032/980,488,195.03
  6. Step 6: Final answer
    x = 4,501,426,489.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.