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Finding the Third Proportional to 849,467,853,427 and 1,820,101,464,242

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Solution

The third proportional to 849,467,853,427 and 1,820,101,464,242 is: 3,899,817,193,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,467,853,427 : 1,820,101,464,242 = 1,820,101,464,242 : x
  2. Step 2: Convert to fraction form
    849,467,853,427/1,820,101,464,242 = 1,820,101,464,242/x
  3. Step 3: Cross multiply
    849,467,853,427x = 1,820,101,464,242 × 1,820,101,464,242
  4. Step 4: Simplify right side
    849,467,853,427x = 3,312,769,340,135,872,346,980,352
  5. Step 5: Solve for x
    x = 3,312,769,340,135,872,346,980,352/849,467,853,427
  6. Step 6: Final answer
    x = 3,899,817,193,518.51

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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.