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Finding the Third Proportional to 399,051,623 and 932,364,650.75

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Solution

The third proportional to 399,051,623 and 932,364,650.75 is: 2,178,424,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051,623 : 932,364,650.75 = 932,364,650.75 : x
  2. Step 2: Convert to fraction form
    399,051,623/932,364,650.75 = 932,364,650.75/x
  3. Step 3: Cross multiply
    399,051,623x = 932,364,650.75 × 932,364,650.75
  4. Step 4: Simplify right side
    399,051,623x = 869,303,841,968,169,472
  5. Step 5: Solve for x
    x = 869,303,841,968,169,472/399,051,623
  6. Step 6: Final answer
    x = 2,178,424,524.21

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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.