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Finding the Third Proportional to 3,328,133,065,278 and 7,157,138,712,460

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Solution

The third proportional to 3,328,133,065,278 and 7,157,138,712,460 is: 15,391,402,189,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,278 : 7,157,138,712,460 = 7,157,138,712,460 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,278/7,157,138,712,460 = 7,157,138,712,460/x
  3. Step 3: Cross multiply
    3,328,133,065,278x = 7,157,138,712,460 × 7,157,138,712,460
  4. Step 4: Simplify right side
    3,328,133,065,278x = 51,224,634,549,393,583,113,240,576
  5. Step 5: Solve for x
    x = 51,224,634,549,393,583,113,240,576/3,328,133,065,278
  6. Step 6: Final answer
    x = 15,391,402,189,958.64

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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.