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Finding the Third Proportional to 72,062,280,014 and 154,969,685,308

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Solution

The third proportional to 72,062,280,014 and 154,969,685,308 is: 333,261,775,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,062,280,014 : 154,969,685,308 = 154,969,685,308 : x
  2. Step 2: Convert to fraction form
    72,062,280,014/154,969,685,308 = 154,969,685,308/x
  3. Step 3: Cross multiply
    72,062,280,014x = 154,969,685,308 × 154,969,685,308
  4. Step 4: Simplify right side
    72,062,280,014x = 24,015,603,364,460,549,373,952
  5. Step 5: Solve for x
    x = 24,015,603,364,460,549,373,952/72,062,280,014
  6. Step 6: Final answer
    x = 333,261,775,228.25

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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.