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Finding the Third Proportional to 524,652,187,064.30 and 806,070,099,846.25

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Solution

The third proportional to 524,652,187,064.30 and 806,070,099,846.25 is: 1,238,437,619,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652,187,064.30 : 806,070,099,846.25 = 806,070,099,846.25 : x
  2. Step 2: Convert to fraction form
    524,652,187,064.30/806,070,099,846.25 = 806,070,099,846.25/x
  3. Step 3: Cross multiply
    524,652,187,064.30x = 806,070,099,846.25 × 806,070,099,846.25
  4. Step 4: Simplify right side
    524,652,187,064.30x = 649,749,005,866,143,454,330,880
  5. Step 5: Solve for x
    x = 649,749,005,866,143,454,330,880/524,652,187,064.30
  6. Step 6: Final answer
    x = 1,238,437,619,981.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.