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Finding the Third Proportional to 6,817,873 and 14,581,340

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Solution

The third proportional to 6,817,873 and 14,581,340 is: 31,185,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,873 : 14,581,340 = 14,581,340 : x
  2. Step 2: Convert to fraction form
    6,817,873/14,581,340 = 14,581,340/x
  3. Step 3: Cross multiply
    6,817,873x = 14,581,340 × 14,581,340
  4. Step 4: Simplify right side
    6,817,873x = 212,615,476,195,600
  5. Step 5: Solve for x
    x = 212,615,476,195,600/6,817,873
  6. Step 6: Final answer
    x = 31,185,015.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.