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Finding the Third Proportional to 4,649,857 and 9,852,863

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Solution

The third proportional to 4,649,857 and 9,852,863 is: 20,877,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,857 : 9,852,863 = 9,852,863 : x
  2. Step 2: Convert to fraction form
    4,649,857/9,852,863 = 9,852,863/x
  3. Step 3: Cross multiply
    4,649,857x = 9,852,863 × 9,852,863
  4. Step 4: Simplify right side
    4,649,857x = 97,078,909,296,769
  5. Step 5: Solve for x
    x = 97,078,909,296,769/4,649,857
  6. Step 6: Final answer
    x = 20,877,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.