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Finding the Third Proportional to 447,394,764 and 956,968,368

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Solution

The third proportional to 447,394,764 and 956,968,368 is: 2,046,936,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,394,764 : 956,968,368 = 956,968,368 : x
  2. Step 2: Convert to fraction form
    447,394,764/956,968,368 = 956,968,368/x
  3. Step 3: Cross multiply
    447,394,764x = 956,968,368 × 956,968,368
  4. Step 4: Simplify right side
    447,394,764x = 915,788,457,352,583,424
  5. Step 5: Solve for x
    x = 915,788,457,352,583,424/447,394,764
  6. Step 6: Final answer
    x = 2,046,936,019.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.