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Finding the Third Proportional to 10,105,623 and 15,533,231.63

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Solution

The third proportional to 10,105,623 and 15,533,231.63 is: 23,875,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,623 : 15,533,231.63 = 15,533,231.63 : x
  2. Step 2: Convert to fraction form
    10,105,623/15,533,231.63 = 15,533,231.63/x
  3. Step 3: Cross multiply
    10,105,623x = 15,533,231.63 × 15,533,231.63
  4. Step 4: Simplify right side
    10,105,623x = 241,281,284,715,900.12
  5. Step 5: Solve for x
    x = 241,281,284,715,900.12/10,105,623
  6. Step 6: Final answer
    x = 23,875,943.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.