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Finding the Third Proportional to 1,970,333,847 and 4,283,615,214

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Solution

The third proportional to 1,970,333,847 and 4,283,615,214 is: 9,312,817,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,333,847 : 4,283,615,214 = 4,283,615,214 : x
  2. Step 2: Convert to fraction form
    1,970,333,847/4,283,615,214 = 4,283,615,214/x
  3. Step 3: Cross multiply
    1,970,333,847x = 4,283,615,214 × 4,283,615,214
  4. Step 4: Simplify right side
    1,970,333,847x = 18,349,359,301,612,265,472
  5. Step 5: Solve for x
    x = 18,349,359,301,612,265,472/1,970,333,847
  6. Step 6: Final answer
    x = 9,312,817,383.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.