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Finding the Third Proportional to 5,870,805.75 and 8,958,056.63

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Solution

The third proportional to 5,870,805.75 and 8,958,056.63 is: 13,668,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,805.75 : 8,958,056.63 = 8,958,056.63 : x
  2. Step 2: Convert to fraction form
    5,870,805.75/8,958,056.63 = 8,958,056.63/x
  3. Step 3: Cross multiply
    5,870,805.75x = 8,958,056.63 × 8,958,056.63
  4. Step 4: Simplify right side
    5,870,805.75x = 80,246,778,496,706.39
  5. Step 5: Solve for x
    x = 80,246,778,496,706.39/5,870,805.75
  6. Step 6: Final answer
    x = 13,668,784.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.