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Finding the Third Proportional to 487,182,966 and 1,149,664,587

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Solution

The third proportional to 487,182,966 and 1,149,664,587 is: 2,713,002,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,182,966 : 1,149,664,587 = 1,149,664,587 : x
  2. Step 2: Convert to fraction form
    487,182,966/1,149,664,587 = 1,149,664,587/x
  3. Step 3: Cross multiply
    487,182,966x = 1,149,664,587 × 1,149,664,587
  4. Step 4: Simplify right side
    487,182,966x = 1,321,728,662,601,880,576
  5. Step 5: Solve for x
    x = 1,321,728,662,601,880,576/487,182,966
  6. Step 6: Final answer
    x = 2,713,002,618.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.