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Finding the Third Proportional to 1,966,360,771 and 4,213,197,832

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Solution

The third proportional to 1,966,360,771 and 4,213,197,832 is: 9,027,354,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,360,771 : 4,213,197,832 = 4,213,197,832 : x
  2. Step 2: Convert to fraction form
    1,966,360,771/4,213,197,832 = 4,213,197,832/x
  3. Step 3: Cross multiply
    1,966,360,771x = 4,213,197,832 × 4,213,197,832
  4. Step 4: Simplify right side
    1,966,360,771x = 17,751,035,971,569,500,160
  5. Step 5: Solve for x
    x = 17,751,035,971,569,500,160/1,966,360,771
  6. Step 6: Final answer
    x = 9,027,354,610.28

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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.