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Finding the Third Proportional to 72,070,496 and 155,478,400

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Solution

The third proportional to 72,070,496 and 155,478,400 is: 335,415,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,070,496 : 155,478,400 = 155,478,400 : x
  2. Step 2: Convert to fraction form
    72,070,496/155,478,400 = 155,478,400/x
  3. Step 3: Cross multiply
    72,070,496x = 155,478,400 × 155,478,400
  4. Step 4: Simplify right side
    72,070,496x = 24,173,532,866,560,000
  5. Step 5: Solve for x
    x = 24,173,532,866,560,000/72,070,496
  6. Step 6: Final answer
    x = 335,415,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.