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Finding the Third Proportional to 287,105,820.50 and 629,795,947.50

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Solution

The third proportional to 287,105,820.50 and 629,795,947.50 is: 1,381,521,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105,820.50 : 629,795,947.50 = 629,795,947.50 : x
  2. Step 2: Convert to fraction form
    287,105,820.50/629,795,947.50 = 629,795,947.50/x
  3. Step 3: Cross multiply
    287,105,820.50x = 629,795,947.50 × 629,795,947.50
  4. Step 4: Simplify right side
    287,105,820.50x = 396,642,935,487,422,784
  5. Step 5: Solve for x
    x = 396,642,935,487,422,784/287,105,820.50
  6. Step 6: Final answer
    x = 1,381,521,749.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.