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Finding the Third Proportional to 364,154,072.63 and 532,405,988.44

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Solution

The third proportional to 364,154,072.63 and 532,405,988.44 is: 778,396,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,154,072.63 : 532,405,988.44 = 532,405,988.44 : x
  2. Step 2: Convert to fraction form
    364,154,072.63/532,405,988.44 = 532,405,988.44/x
  3. Step 3: Cross multiply
    364,154,072.63x = 532,405,988.44 × 532,405,988.44
  4. Step 4: Simplify right side
    364,154,072.63x = 283,456,136,524,111,392
  5. Step 5: Solve for x
    x = 283,456,136,524,111,392/364,154,072.63
  6. Step 6: Final answer
    x = 778,396,173.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.