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Finding the Third Proportional to 9,477,745,962 and 20,851,007,965.50

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Solution

The third proportional to 9,477,745,962 and 20,851,007,965.50 is: 45,872,144,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,745,962 : 20,851,007,965.50 = 20,851,007,965.50 : x
  2. Step 2: Convert to fraction form
    9,477,745,962/20,851,007,965.50 = 20,851,007,965.50/x
  3. Step 3: Cross multiply
    9,477,745,962x = 20,851,007,965.50 × 20,851,007,965.50
  4. Step 4: Simplify right side
    9,477,745,962x = 434,764,533,177,344,458,752
  5. Step 5: Solve for x
    x = 434,764,533,177,344,458,752/9,477,745,962
  6. Step 6: Final answer
    x = 45,872,144,592.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.