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Finding the Third Proportional to 5,107,599 and 10,837,764

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Solution

The third proportional to 5,107,599 and 10,837,764 is: 22,996,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,599 : 10,837,764 = 10,837,764 : x
  2. Step 2: Convert to fraction form
    5,107,599/10,837,764 = 10,837,764/x
  3. Step 3: Cross multiply
    5,107,599x = 10,837,764 × 10,837,764
  4. Step 4: Simplify right side
    5,107,599x = 117,457,128,519,696
  5. Step 5: Solve for x
    x = 117,457,128,519,696/5,107,599
  6. Step 6: Final answer
    x = 22,996,544.66

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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.