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Finding the Third Proportional to 6,810,417 and 14,451,030

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Solution

The third proportional to 6,810,417 and 14,451,030 is: 30,663,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,417 : 14,451,030 = 14,451,030 : x
  2. Step 2: Convert to fraction form
    6,810,417/14,451,030 = 14,451,030/x
  3. Step 3: Cross multiply
    6,810,417x = 14,451,030 × 14,451,030
  4. Step 4: Simplify right side
    6,810,417x = 208,832,268,060,900
  5. Step 5: Solve for x
    x = 208,832,268,060,900/6,810,417
  6. Step 6: Final answer
    x = 30,663,653.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.