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Finding the Third Proportional to 3,997,871,630,904 and 6,090,480,890,420

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Solution

The third proportional to 3,997,871,630,904 and 6,090,480,890,420 is: 9,278,426,348,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,871,630,904 : 6,090,480,890,420 = 6,090,480,890,420 : x
  2. Step 2: Convert to fraction form
    3,997,871,630,904/6,090,480,890,420 = 6,090,480,890,420/x
  3. Step 3: Cross multiply
    3,997,871,630,904x = 6,090,480,890,420 × 6,090,480,890,420
  4. Step 4: Simplify right side
    3,997,871,630,904x = 37,093,957,476,571,195,098,791,936
  5. Step 5: Solve for x
    x = 37,093,957,476,571,195,098,791,936/3,997,871,630,904
  6. Step 6: Final answer
    x = 9,278,426,348,117.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.