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Finding the Third Proportional to 430,654,350 and 944,685,882

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Solution

The third proportional to 430,654,350 and 944,685,882 is: 2,072,268,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,654,350 : 944,685,882 = 944,685,882 : x
  2. Step 2: Convert to fraction form
    430,654,350/944,685,882 = 944,685,882/x
  3. Step 3: Cross multiply
    430,654,350x = 944,685,882 × 944,685,882
  4. Step 4: Simplify right side
    430,654,350x = 892,431,415,650,117,888
  5. Step 5: Solve for x
    x = 892,431,415,650,117,888/430,654,350
  6. Step 6: Final answer
    x = 2,072,268,434.42

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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.