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Finding the Third Proportional to 3,565,214 and 7,698,764

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Solution

The third proportional to 3,565,214 and 7,698,764 is: 16,624,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565,214 : 7,698,764 = 7,698,764 : x
  2. Step 2: Convert to fraction form
    3,565,214/7,698,764 = 7,698,764/x
  3. Step 3: Cross multiply
    3,565,214x = 7,698,764 × 7,698,764
  4. Step 4: Simplify right side
    3,565,214x = 59,270,967,127,696
  5. Step 5: Solve for x
    x = 59,270,967,127,696/3,565,214
  6. Step 6: Final answer
    x = 16,624,799.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.