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Finding the Third Proportional to 7,763,211,508.50 and 11,101,477,873.50

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Solution

The third proportional to 7,763,211,508.50 and 11,101,477,873.50 is: 15,875,235,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763,211,508.50 : 11,101,477,873.50 = 11,101,477,873.50 : x
  2. Step 2: Convert to fraction form
    7,763,211,508.50/11,101,477,873.50 = 11,101,477,873.50/x
  3. Step 3: Cross multiply
    7,763,211,508.50x = 11,101,477,873.50 × 11,101,477,873.50
  4. Step 4: Simplify right side
    7,763,211,508.50x = 123,242,810,975,810,076,672
  5. Step 5: Solve for x
    x = 123,242,810,975,810,076,672/7,763,211,508.50
  6. Step 6: Final answer
    x = 15,875,235,505.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.