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Finding the Third Proportional to 287,106,822 and 629,793,576

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Solution

The third proportional to 287,106,822 and 629,793,576 is: 1,381,506,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106,822 : 629,793,576 = 629,793,576 : x
  2. Step 2: Convert to fraction form
    287,106,822/629,793,576 = 629,793,576/x
  3. Step 3: Cross multiply
    287,106,822x = 629,793,576 × 629,793,576
  4. Step 4: Simplify right side
    287,106,822x = 396,639,948,370,867,776
  5. Step 5: Solve for x
    x = 396,639,948,370,867,776/287,106,822
  6. Step 6: Final answer
    x = 1,381,506,526.41

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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.