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Finding the Third Proportional to 6,821,580 and 14,675,424

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Solution

The third proportional to 6,821,580 and 14,675,424 is: 31,571,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,580 : 14,675,424 = 14,675,424 : x
  2. Step 2: Convert to fraction form
    6,821,580/14,675,424 = 14,675,424/x
  3. Step 3: Cross multiply
    6,821,580x = 14,675,424 × 14,675,424
  4. Step 4: Simplify right side
    6,821,580x = 215,368,069,579,776
  5. Step 5: Solve for x
    x = 215,368,069,579,776/6,821,580
  6. Step 6: Final answer
    x = 31,571,581.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.