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Finding the Third Proportional to 30,980,592 and 67,334,400

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Solution

The third proportional to 30,980,592 and 67,334,400 is: 146,347,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980,592 : 67,334,400 = 67,334,400 : x
  2. Step 2: Convert to fraction form
    30,980,592/67,334,400 = 67,334,400/x
  3. Step 3: Cross multiply
    30,980,592x = 67,334,400 × 67,334,400
  4. Step 4: Simplify right side
    30,980,592x = 4,533,921,423,360,000
  5. Step 5: Solve for x
    x = 4,533,921,423,360,000/30,980,592
  6. Step 6: Final answer
    x = 146,347,152.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.