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Finding the Third Proportional to 563,600,922 and 905,985,536

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Solution

The third proportional to 563,600,922 and 905,985,536 is: 1,456,367,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,600,922 : 905,985,536 = 905,985,536 : x
  2. Step 2: Convert to fraction form
    563,600,922/905,985,536 = 905,985,536/x
  3. Step 3: Cross multiply
    563,600,922x = 905,985,536 × 905,985,536
  4. Step 4: Simplify right side
    563,600,922x = 820,809,791,441,207,296
  5. Step 5: Solve for x
    x = 820,809,791,441,207,296/563,600,922
  6. Step 6: Final answer
    x = 1,456,367,013.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.