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Finding the Third Proportional to 399,051,635 and 932,364,680

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Solution

The third proportional to 399,051,635 and 932,364,680 is: 2,178,424,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051,635 : 932,364,680 = 932,364,680 : x
  2. Step 2: Convert to fraction form
    399,051,635/932,364,680 = 932,364,680/x
  3. Step 3: Cross multiply
    399,051,635x = 932,364,680 × 932,364,680
  4. Step 4: Simplify right side
    399,051,635x = 869,303,896,511,502,336
  5. Step 5: Solve for x
    x = 869,303,896,511,502,336/399,051,635
  6. Step 6: Final answer
    x = 2,178,424,595.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.