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Finding the Third Proportional to 9,848,678.63 and 15,733,475.44

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Solution

The third proportional to 9,848,678.63 and 15,733,475.44 is: 25,134,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848,678.63 : 15,733,475.44 = 15,733,475.44 : x
  2. Step 2: Convert to fraction form
    9,848,678.63/15,733,475.44 = 15,733,475.44/x
  3. Step 3: Cross multiply
    9,848,678.63x = 15,733,475.44 × 15,733,475.44
  4. Step 4: Simplify right side
    9,848,678.63x = 247,542,249,342,415.81
  5. Step 5: Solve for x
    x = 247,542,249,342,415.81/9,848,678.63
  6. Step 6: Final answer
    x = 25,134,564.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.