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Finding the Third Proportional to 408,046,024 and 885,370,368

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Solution

The third proportional to 408,046,024 and 885,370,368 is: 1,921,059,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,024 : 885,370,368 = 885,370,368 : x
  2. Step 2: Convert to fraction form
    408,046,024/885,370,368 = 885,370,368/x
  3. Step 3: Cross multiply
    408,046,024x = 885,370,368 × 885,370,368
  4. Step 4: Simplify right side
    408,046,024x = 783,880,688,532,455,424
  5. Step 5: Solve for x
    x = 783,880,688,532,455,424/408,046,024
  6. Step 6: Final answer
    x = 1,921,059,494.34

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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.