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Finding the Third Proportional to 22,398,196,369.50 and 47,991,189,433.50

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Solution

The third proportional to 22,398,196,369.50 and 47,991,189,433.50 is: 102,827,666,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398,196,369.50 : 47,991,189,433.50 = 47,991,189,433.50 : x
  2. Step 2: Convert to fraction form
    22,398,196,369.50/47,991,189,433.50 = 47,991,189,433.50/x
  3. Step 3: Cross multiply
    22,398,196,369.50x = 47,991,189,433.50 × 47,991,189,433.50
  4. Step 4: Simplify right side
    22,398,196,369.50x = 2,303,154,263,242,082,091,008
  5. Step 5: Solve for x
    x = 2,303,154,263,242,082,091,008/22,398,196,369.50
  6. Step 6: Final answer
    x = 102,827,666,355.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.