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Finding the Third Proportional to 3,328,133,065,194 and 7,157,138,712,292

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Solution

The third proportional to 3,328,133,065,194 and 7,157,138,712,292 is: 15,391,402,189,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,194 : 7,157,138,712,292 = 7,157,138,712,292 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,194/7,157,138,712,292 = 7,157,138,712,292/x
  3. Step 3: Cross multiply
    3,328,133,065,194x = 7,157,138,712,292 × 7,157,138,712,292
  4. Step 4: Simplify right side
    3,328,133,065,194x = 51,224,634,546,988,787,974,537,216
  5. Step 5: Solve for x
    x = 51,224,634,546,988,787,974,537,216/3,328,133,065,194
  6. Step 6: Final answer
    x = 15,391,402,189,624.55

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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.