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Finding the Third Proportional to 10,805,091 and 23,584,787

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Solution

The third proportional to 10,805,091 and 23,584,787 is: 51,479,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805,091 : 23,584,787 = 23,584,787 : x
  2. Step 2: Convert to fraction form
    10,805,091/23,584,787 = 23,584,787/x
  3. Step 3: Cross multiply
    10,805,091x = 23,584,787 × 23,584,787
  4. Step 4: Simplify right side
    10,805,091x = 556,242,177,835,369
  5. Step 5: Solve for x
    x = 556,242,177,835,369/10,805,091
  6. Step 6: Final answer
    x = 51,479,638.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.