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Finding the Third Proportional to 1,328,909,350 and 2,862,285,596

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Solution

The third proportional to 1,328,909,350 and 2,862,285,596 is: 6,164,964,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,909,350 : 2,862,285,596 = 2,862,285,596 : x
  2. Step 2: Convert to fraction form
    1,328,909,350/2,862,285,596 = 2,862,285,596/x
  3. Step 3: Cross multiply
    1,328,909,350x = 2,862,285,596 × 2,862,285,596
  4. Step 4: Simplify right side
    1,328,909,350x = 8,192,678,833,069,075,456
  5. Step 5: Solve for x
    x = 8,192,678,833,069,075,456/1,328,909,350
  6. Step 6: Final answer
    x = 6,164,964,399.62

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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.