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Finding the Third Proportional to 401,314,773 and 881,548,525.50

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Solution

The third proportional to 401,314,773 and 881,548,525.50 is: 1,936,454,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,314,773 : 881,548,525.50 = 881,548,525.50 : x
  2. Step 2: Convert to fraction form
    401,314,773/881,548,525.50 = 881,548,525.50/x
  3. Step 3: Cross multiply
    401,314,773x = 881,548,525.50 × 881,548,525.50
  4. Step 4: Simplify right side
    401,314,773x = 777,127,802,811,224,192
  5. Step 5: Solve for x
    x = 777,127,802,811,224,192/401,314,773
  6. Step 6: Final answer
    x = 1,936,454,511.76

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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.