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Finding the Third Proportional to 312,587,884 and 459,516,034

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Solution

The third proportional to 312,587,884 and 459,516,034 is: 675,505,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,587,884 : 459,516,034 = 459,516,034 : x
  2. Step 2: Convert to fraction form
    312,587,884/459,516,034 = 459,516,034/x
  3. Step 3: Cross multiply
    312,587,884x = 459,516,034 × 459,516,034
  4. Step 4: Simplify right side
    312,587,884x = 211,154,985,503,089,152
  5. Step 5: Solve for x
    x = 211,154,985,503,089,152/312,587,884
  6. Step 6: Final answer
    x = 675,505,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.