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Finding the Third Proportional to 771,194,378.81 and 1,174,861,290.94

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Solution

The third proportional to 771,194,378.81 and 1,174,861,290.94 is: 1,789,819,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,194,378.81 : 1,174,861,290.94 = 1,174,861,290.94 : x
  2. Step 2: Convert to fraction form
    771,194,378.81/1,174,861,290.94 = 1,174,861,290.94/x
  3. Step 3: Cross multiply
    771,194,378.81x = 1,174,861,290.94 × 1,174,861,290.94
  4. Step 4: Simplify right side
    771,194,378.81x = 1,380,299,052,943,329,024
  5. Step 5: Solve for x
    x = 1,380,299,052,943,329,024/771,194,378.81
  6. Step 6: Final answer
    x = 1,789,819,909.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.