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Finding the Third Proportional to 3,165,764 and 6,443,316

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Solution

The third proportional to 3,165,764 and 6,443,316 is: 13,114,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,764 : 6,443,316 = 6,443,316 : x
  2. Step 2: Convert to fraction form
    3,165,764/6,443,316 = 6,443,316/x
  3. Step 3: Cross multiply
    3,165,764x = 6,443,316 × 6,443,316
  4. Step 4: Simplify right side
    3,165,764x = 41,516,321,075,856
  5. Step 5: Solve for x
    x = 41,516,321,075,856/3,165,764
  6. Step 6: Final answer
    x = 13,114,155.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.