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Finding the Third Proportional to 1,127,201,859 and 1,811,971,093.50

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Solution

The third proportional to 1,127,201,859 and 1,811,971,093.50 is: 2,912,734,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,201,859 : 1,811,971,093.50 = 1,811,971,093.50 : x
  2. Step 2: Convert to fraction form
    1,127,201,859/1,811,971,093.50 = 1,811,971,093.50/x
  3. Step 3: Cross multiply
    1,127,201,859x = 1,811,971,093.50 × 1,811,971,093.50
  4. Step 4: Simplify right side
    1,127,201,859x = 3,283,239,243,679,585,792
  5. Step 5: Solve for x
    x = 3,283,239,243,679,585,792/1,127,201,859
  6. Step 6: Final answer
    x = 2,912,734,056.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.