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Finding the Third Proportional to 408,046,016 and 885,370,352

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Solution

The third proportional to 408,046,016 and 885,370,352 is: 1,921,059,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,016 : 885,370,352 = 885,370,352 : x
  2. Step 2: Convert to fraction form
    408,046,016/885,370,352 = 885,370,352/x
  3. Step 3: Cross multiply
    408,046,016x = 885,370,352 × 885,370,352
  4. Step 4: Simplify right side
    408,046,016x = 783,880,660,200,603,904
  5. Step 5: Solve for x
    x = 783,880,660,200,603,904/408,046,016
  6. Step 6: Final answer
    x = 1,921,059,462.57

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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.