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Finding the Third Proportional to 6,151,672 and 13,461,863

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Solution

The third proportional to 6,151,672 and 13,461,863 is: 29,458,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,672 : 13,461,863 = 13,461,863 : x
  2. Step 2: Convert to fraction form
    6,151,672/13,461,863 = 13,461,863/x
  3. Step 3: Cross multiply
    6,151,672x = 13,461,863 × 13,461,863
  4. Step 4: Simplify right side
    6,151,672x = 181,221,755,430,769
  5. Step 5: Solve for x
    x = 181,221,755,430,769/6,151,672
  6. Step 6: Final answer
    x = 29,458,943.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.