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Finding the Third Proportional to 2,857,824 and 6,164,346

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Solution

The third proportional to 2,857,824 and 6,164,346 is: 13,296,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,824 : 6,164,346 = 6,164,346 : x
  2. Step 2: Convert to fraction form
    2,857,824/6,164,346 = 6,164,346/x
  3. Step 3: Cross multiply
    2,857,824x = 6,164,346 × 6,164,346
  4. Step 4: Simplify right side
    2,857,824x = 37,999,161,607,716
  5. Step 5: Solve for x
    x = 37,999,161,607,716/2,857,824
  6. Step 6: Final answer
    x = 13,296,536.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.