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Finding the Third Proportional to 5,341,862 and 11,493,714

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Solution

The third proportional to 5,341,862 and 11,493,714 is: 24,730,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341,862 : 11,493,714 = 11,493,714 : x
  2. Step 2: Convert to fraction form
    5,341,862/11,493,714 = 11,493,714/x
  3. Step 3: Cross multiply
    5,341,862x = 11,493,714 × 11,493,714
  4. Step 4: Simplify right side
    5,341,862x = 132,105,461,513,796
  5. Step 5: Solve for x
    x = 132,105,461,513,796/5,341,862
  6. Step 6: Final answer
    x = 24,730,227.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.