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Finding the Third Proportional to 6,590,349 and 14,351,835

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Solution

The third proportional to 6,590,349 and 14,351,835 is: 31,254,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,349 : 14,351,835 = 14,351,835 : x
  2. Step 2: Convert to fraction form
    6,590,349/14,351,835 = 14,351,835/x
  3. Step 3: Cross multiply
    6,590,349x = 14,351,835 × 14,351,835
  4. Step 4: Simplify right side
    6,590,349x = 205,975,167,867,225
  5. Step 5: Solve for x
    x = 205,975,167,867,225/6,590,349
  6. Step 6: Final answer
    x = 31,254,060.73

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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.