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Finding the Third Proportional to 216,551,376 and 467,619,624

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Solution

The third proportional to 216,551,376 and 467,619,624 is: 1,009,774,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,551,376 : 467,619,624 = 467,619,624 : x
  2. Step 2: Convert to fraction form
    216,551,376/467,619,624 = 467,619,624/x
  3. Step 3: Cross multiply
    216,551,376x = 467,619,624 × 467,619,624
  4. Step 4: Simplify right side
    216,551,376x = 218,668,112,749,901,376
  5. Step 5: Solve for x
    x = 218,668,112,749,901,376/216,551,376
  6. Step 6: Final answer
    x = 1,009,774,755.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.