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Finding the Third Proportional to 287,106,825 and 629,793,582

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Solution

The third proportional to 287,106,825 and 629,793,582 is: 1,381,506,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106,825 : 629,793,582 = 629,793,582 : x
  2. Step 2: Convert to fraction form
    287,106,825/629,793,582 = 629,793,582/x
  3. Step 3: Cross multiply
    287,106,825x = 629,793,582 × 629,793,582
  4. Step 4: Simplify right side
    287,106,825x = 396,639,955,928,390,720
  5. Step 5: Solve for x
    x = 396,639,955,928,390,720/287,106,825
  6. Step 6: Final answer
    x = 1,381,506,538.30

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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.