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Finding the Third Proportional to 13,000,257 and 27,680,130

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Solution

The third proportional to 13,000,257 and 27,680,130 is: 58,936,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000,257 : 27,680,130 = 27,680,130 : x
  2. Step 2: Convert to fraction form
    13,000,257/27,680,130 = 27,680,130/x
  3. Step 3: Cross multiply
    13,000,257x = 27,680,130 × 27,680,130
  4. Step 4: Simplify right side
    13,000,257x = 766,189,596,816,900
  5. Step 5: Solve for x
    x = 766,189,596,816,900/13,000,257
  6. Step 6: Final answer
    x = 58,936,496.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.