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Finding the Third Proportional to 3,328,133,065,192 and 7,157,138,712,289

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Solution

The third proportional to 3,328,133,065,192 and 7,157,138,712,289 is: 15,391,402,189,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,192 : 7,157,138,712,289 = 7,157,138,712,289 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,192/7,157,138,712,289 = 7,157,138,712,289/x
  3. Step 3: Cross multiply
    3,328,133,065,192x = 7,157,138,712,289 × 7,157,138,712,289
  4. Step 4: Simplify right side
    3,328,133,065,192x = 51,224,634,546,945,846,891,511,808
  5. Step 5: Solve for x
    x = 51,224,634,546,945,846,891,511,808/3,328,133,065,192
  6. Step 6: Final answer
    x = 15,391,402,189,620.89

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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.