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Finding the Third Proportional to 3,328,133,065,256 and 7,157,138,712,416

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Solution

The third proportional to 3,328,133,065,256 and 7,157,138,712,416 is: 15,391,402,189,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,256 : 7,157,138,712,416 = 7,157,138,712,416 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,256/7,157,138,712,416 = 7,157,138,712,416/x
  3. Step 3: Cross multiply
    3,328,133,065,256x = 7,157,138,712,416 × 7,157,138,712,416
  4. Step 4: Simplify right side
    3,328,133,065,256x = 51,224,634,548,763,760,519,020,544
  5. Step 5: Solve for x
    x = 51,224,634,548,763,760,519,020,544/3,328,133,065,256
  6. Step 6: Final answer
    x = 15,391,402,189,871.14

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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.