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Finding the Third Proportional to 5,386,842 and 11,628,310.50

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Solution

The third proportional to 5,386,842 and 11,628,310.50 is: 25,101,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,842 : 11,628,310.50 = 11,628,310.50 : x
  2. Step 2: Convert to fraction form
    5,386,842/11,628,310.50 = 11,628,310.50/x
  3. Step 3: Cross multiply
    5,386,842x = 11,628,310.50 × 11,628,310.50
  4. Step 4: Simplify right side
    5,386,842x = 135,217,605,084,410.25
  5. Step 5: Solve for x
    x = 135,217,605,084,410.25/5,386,842
  6. Step 6: Final answer
    x = 25,101,461.13

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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.