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Finding the Third Proportional to 399,051,633 and 932,364,675

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Solution

The third proportional to 399,051,633 and 932,364,675 is: 2,178,424,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051,633 : 932,364,675 = 932,364,675 : x
  2. Step 2: Convert to fraction form
    399,051,633/932,364,675 = 932,364,675/x
  3. Step 3: Cross multiply
    399,051,633x = 932,364,675 × 932,364,675
  4. Step 4: Simplify right side
    399,051,633x = 869,303,887,187,855,616
  5. Step 5: Solve for x
    x = 869,303,887,187,855,616/399,051,633
  6. Step 6: Final answer
    x = 2,178,424,582.94

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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.