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Finding the Third Proportional to 408,046,106 and 885,370,516

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Solution

The third proportional to 408,046,106 and 885,370,516 is: 1,921,059,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,106 : 885,370,516 = 885,370,516 : x
  2. Step 2: Convert to fraction form
    408,046,106/885,370,516 = 885,370,516/x
  3. Step 3: Cross multiply
    408,046,106x = 885,370,516 × 885,370,516
  4. Step 4: Simplify right side
    408,046,106x = 783,880,950,602,106,240
  5. Step 5: Solve for x
    x = 783,880,950,602,106,240/408,046,106
  6. Step 6: Final answer
    x = 1,921,059,750.54

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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.