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Finding the Third Proportional to 222,554,640 and 478,017,264

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Solution

The third proportional to 222,554,640 and 478,017,264 is: 1,026,716,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,554,640 : 478,017,264 = 478,017,264 : x
  2. Step 2: Convert to fraction form
    222,554,640/478,017,264 = 478,017,264/x
  3. Step 3: Cross multiply
    222,554,640x = 478,017,264 × 478,017,264
  4. Step 4: Simplify right side
    222,554,640x = 228,500,504,682,045,696
  5. Step 5: Solve for x
    x = 228,500,504,682,045,696/222,554,640
  6. Step 6: Final answer
    x = 1,026,716,426.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.