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Finding the Third Proportional to 1,216,595,668.50 and 2,497,686,741

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Solution

The third proportional to 1,216,595,668.50 and 2,497,686,741 is: 5,127,783,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,595,668.50 : 2,497,686,741 = 2,497,686,741 : x
  2. Step 2: Convert to fraction form
    1,216,595,668.50/2,497,686,741 = 2,497,686,741/x
  3. Step 3: Cross multiply
    1,216,595,668.50x = 2,497,686,741 × 2,497,686,741
  4. Step 4: Simplify right side
    1,216,595,668.50x = 6,238,439,056,167,200,768
  5. Step 5: Solve for x
    x = 6,238,439,056,167,200,768/1,216,595,668.50
  6. Step 6: Final answer
    x = 5,127,783,385.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.