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Finding the Third Proportional to 408,046,020 and 885,370,360

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Solution

The third proportional to 408,046,020 and 885,370,360 is: 1,921,059,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,020 : 885,370,360 = 885,370,360 : x
  2. Step 2: Convert to fraction form
    408,046,020/885,370,360 = 885,370,360/x
  3. Step 3: Cross multiply
    408,046,020x = 885,370,360 × 885,370,360
  4. Step 4: Simplify right side
    408,046,020x = 783,880,674,366,529,536
  5. Step 5: Solve for x
    x = 783,880,674,366,529,536/408,046,020
  6. Step 6: Final answer
    x = 1,921,059,478.45

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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.