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Finding the Third Proportional to 614,103,772 and 943,436,814

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Solution

The third proportional to 614,103,772 and 943,436,814 is: 1,449,385,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,103,772 : 943,436,814 = 943,436,814 : x
  2. Step 2: Convert to fraction form
    614,103,772/943,436,814 = 943,436,814/x
  3. Step 3: Cross multiply
    614,103,772x = 943,436,814 × 943,436,814
  4. Step 4: Simplify right side
    614,103,772x = 890,073,022,010,470,656
  5. Step 5: Solve for x
    x = 890,073,022,010,470,656/614,103,772
  6. Step 6: Final answer
    x = 1,449,385,368.72

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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.