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Finding the Third Proportional to 408,046,012 and 885,370,342

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Solution

The third proportional to 408,046,012 and 885,370,342 is: 1,921,059,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,012 : 885,370,342 = 885,370,342 : x
  2. Step 2: Convert to fraction form
    408,046,012/885,370,342 = 885,370,342/x
  3. Step 3: Cross multiply
    408,046,012x = 885,370,342 × 885,370,342
  4. Step 4: Simplify right side
    408,046,012x = 783,880,642,493,196,928
  5. Step 5: Solve for x
    x = 783,880,642,493,196,928/408,046,012
  6. Step 6: Final answer
    x = 1,921,059,438.01

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Why These Related Problems?

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