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Finding the Third Proportional to 2,913,820 and 6,338,024

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Solution

The third proportional to 2,913,820 and 6,338,024 is: 13,786,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,820 : 6,338,024 = 6,338,024 : x
  2. Step 2: Convert to fraction form
    2,913,820/6,338,024 = 6,338,024/x
  3. Step 3: Cross multiply
    2,913,820x = 6,338,024 × 6,338,024
  4. Step 4: Simplify right side
    2,913,820x = 40,170,548,224,576
  5. Step 5: Solve for x
    x = 40,170,548,224,576/2,913,820
  6. Step 6: Final answer
    x = 13,786,214.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.