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Finding the Third Proportional to 6,837,507 and 14,590,278

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Solution

The third proportional to 6,837,507 and 14,590,278 is: 31,133,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,507 : 14,590,278 = 14,590,278 : x
  2. Step 2: Convert to fraction form
    6,837,507/14,590,278 = 14,590,278/x
  3. Step 3: Cross multiply
    6,837,507x = 14,590,278 × 14,590,278
  4. Step 4: Simplify right side
    6,837,507x = 212,876,212,117,284
  5. Step 5: Solve for x
    x = 212,876,212,117,284/6,837,507
  6. Step 6: Final answer
    x = 31,133,600.61

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Why These Related Problems?

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