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Finding the Third Proportional to 563,600,929.50 and 905,985,546.75

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Solution

The third proportional to 563,600,929.50 and 905,985,546.75 is: 1,456,367,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,600,929.50 : 905,985,546.75 = 905,985,546.75 : x
  2. Step 2: Convert to fraction form
    563,600,929.50/905,985,546.75 = 905,985,546.75/x
  3. Step 3: Cross multiply
    563,600,929.50x = 905,985,546.75 × 905,985,546.75
  4. Step 4: Simplify right side
    563,600,929.50x = 820,809,810,919,896,448
  5. Step 5: Solve for x
    x = 820,809,810,919,896,448/563,600,929.50
  6. Step 6: Final answer
    x = 1,456,367,028.44

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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.