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Finding the Third Proportional to 2,658,164 and 5,664,296

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Solution

The third proportional to 2,658,164 and 5,664,296 is: 12,070,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,164 : 5,664,296 = 5,664,296 : x
  2. Step 2: Convert to fraction form
    2,658,164/5,664,296 = 5,664,296/x
  3. Step 3: Cross multiply
    2,658,164x = 5,664,296 × 5,664,296
  4. Step 4: Simplify right side
    2,658,164x = 32,084,249,175,616
  5. Step 5: Solve for x
    x = 32,084,249,175,616/2,658,164
  6. Step 6: Final answer
    x = 12,070,078.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.