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Finding the Third Proportional to 296,103,784 and 641,628,080

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Solution

The third proportional to 296,103,784 and 641,628,080 is: 1,390,345,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103,784 : 641,628,080 = 641,628,080 : x
  2. Step 2: Convert to fraction form
    296,103,784/641,628,080 = 641,628,080/x
  3. Step 3: Cross multiply
    296,103,784x = 641,628,080 × 641,628,080
  4. Step 4: Simplify right side
    296,103,784x = 411,686,593,044,486,400
  5. Step 5: Solve for x
    x = 411,686,593,044,486,400/296,103,784
  6. Step 6: Final answer
    x = 1,390,345,599.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.