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Finding the Third Proportional to 340,600,864 and 745,683,164

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Solution

The third proportional to 340,600,864 and 745,683,164 is: 1,632,536,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,600,864 : 745,683,164 = 745,683,164 : x
  2. Step 2: Convert to fraction form
    340,600,864/745,683,164 = 745,683,164/x
  3. Step 3: Cross multiply
    340,600,864x = 745,683,164 × 745,683,164
  4. Step 4: Simplify right side
    340,600,864x = 556,043,381,073,050,880
  5. Step 5: Solve for x
    x = 556,043,381,073,050,880/340,600,864
  6. Step 6: Final answer
    x = 1,632,536,613.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.