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Finding the Third Proportional to 6,789,130 and 14,641,142

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Solution

The third proportional to 6,789,130 and 14,641,142 is: 31,574,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789,130 : 14,641,142 = 14,641,142 : x
  2. Step 2: Convert to fraction form
    6,789,130/14,641,142 = 14,641,142/x
  3. Step 3: Cross multiply
    6,789,130x = 14,641,142 × 14,641,142
  4. Step 4: Simplify right side
    6,789,130x = 214,363,039,064,164
  5. Step 5: Solve for x
    x = 214,363,039,064,164/6,789,130
  6. Step 6: Final answer
    x = 31,574,449.02

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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.