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Finding the Third Proportional to 13,902,462.84 and 30,276,463.50

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Solution

The third proportional to 13,902,462.84 and 30,276,463.50 is: 65,935,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,462.84 : 30,276,463.50 = 30,276,463.50 : x
  2. Step 2: Convert to fraction form
    13,902,462.84/30,276,463.50 = 30,276,463.50/x
  3. Step 3: Cross multiply
    13,902,462.84x = 30,276,463.50 × 30,276,463.50
  4. Step 4: Simplify right side
    13,902,462.84x = 916,664,242,066,832.25
  5. Step 5: Solve for x
    x = 916,664,242,066,832.25/13,902,462.84
  6. Step 6: Final answer
    x = 65,935,385.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.