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Finding the Third Proportional to 6,140,880.84 and 9,632,045.39

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Solution

The third proportional to 6,140,880.84 and 9,632,045.39 is: 15,107,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140,880.84 : 9,632,045.39 = 9,632,045.39 : x
  2. Step 2: Convert to fraction form
    6,140,880.84/9,632,045.39 = 9,632,045.39/x
  3. Step 3: Cross multiply
    6,140,880.84x = 9,632,045.39 × 9,632,045.39
  4. Step 4: Simplify right side
    6,140,880.84x = 92,776,298,407,060.31
  5. Step 5: Solve for x
    x = 92,776,298,407,060.31/6,140,880.84
  6. Step 6: Final answer
    x = 15,107,978.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.