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Finding the Third Proportional to 3,328,133,065,173 and 7,157,138,712,251

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Solution

The third proportional to 3,328,133,065,173 and 7,157,138,712,251 is: 15,391,402,189,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,173 : 7,157,138,712,251 = 7,157,138,712,251 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,173/7,157,138,712,251 = 7,157,138,712,251/x
  3. Step 3: Cross multiply
    3,328,133,065,173x = 7,157,138,712,251 × 7,157,138,712,251
  4. Step 4: Simplify right side
    3,328,133,065,173x = 51,224,634,546,401,906,463,342,592
  5. Step 5: Solve for x
    x = 51,224,634,546,401,906,463,342,592/3,328,133,065,173
  6. Step 6: Final answer
    x = 15,391,402,189,545.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.