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Finding the Third Proportional to 465,206,280 and 1,014,912,336

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Solution

The third proportional to 465,206,280 and 1,014,912,336 is: 2,214,172,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,206,280 : 1,014,912,336 = 1,014,912,336 : x
  2. Step 2: Convert to fraction form
    465,206,280/1,014,912,336 = 1,014,912,336/x
  3. Step 3: Cross multiply
    465,206,280x = 1,014,912,336 × 1,014,912,336
  4. Step 4: Simplify right side
    465,206,280x = 1,030,047,049,764,976,896
  5. Step 5: Solve for x
    x = 1,030,047,049,764,976,896/465,206,280
  6. Step 6: Final answer
    x = 2,214,172,710.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.