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Finding the Third Proportional to 3,848,026,014 and 5,948,748,972

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Solution

The third proportional to 3,848,026,014 and 5,948,748,972 is: 9,196,303,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,026,014 : 5,948,748,972 = 5,948,748,972 : x
  2. Step 2: Convert to fraction form
    3,848,026,014/5,948,748,972 = 5,948,748,972/x
  3. Step 3: Cross multiply
    3,848,026,014x = 5,948,748,972 × 5,948,748,972
  4. Step 4: Simplify right side
    3,848,026,014x = 35,387,614,331,871,055,872
  5. Step 5: Solve for x
    x = 35,387,614,331,871,055,872/3,848,026,014
  6. Step 6: Final answer
    x = 9,196,303,300.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.