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Finding the Third Proportional to 15,821,271.84 and 23,774,031.56

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Solution

The third proportional to 15,821,271.84 and 23,774,031.56 is: 35,724,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821,271.84 : 23,774,031.56 = 23,774,031.56 : x
  2. Step 2: Convert to fraction form
    15,821,271.84/23,774,031.56 = 23,774,031.56/x
  3. Step 3: Cross multiply
    15,821,271.84x = 23,774,031.56 × 23,774,031.56
  4. Step 4: Simplify right side
    15,821,271.84x = 565,204,576,734,746.25
  5. Step 5: Solve for x
    x = 565,204,576,734,746.25/15,821,271.84
  6. Step 6: Final answer
    x = 35,724,345.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.