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Finding the Third Proportional to 3,997,871,632,906 and 6,090,480,893,392

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Solution

The third proportional to 3,997,871,632,906 and 6,090,480,893,392 is: 9,278,426,352,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,871,632,906 : 6,090,480,893,392 = 6,090,480,893,392 : x
  2. Step 2: Convert to fraction form
    3,997,871,632,906/6,090,480,893,392 = 6,090,480,893,392/x
  3. Step 3: Cross multiply
    3,997,871,632,906x = 6,090,480,893,392 × 6,090,480,893,392
  4. Step 4: Simplify right side
    3,997,871,632,906x = 37,093,957,512,773,014,875,275,264
  5. Step 5: Solve for x
    x = 37,093,957,512,773,014,875,275,264/3,997,871,632,906
  6. Step 6: Final answer
    x = 9,278,426,352,526.46

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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.