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Finding the Third Proportional to 614,103,770 and 943,436,811

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Solution

The third proportional to 614,103,770 and 943,436,811 is: 1,449,385,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,103,770 : 943,436,811 = 943,436,811 : x
  2. Step 2: Convert to fraction form
    614,103,770/943,436,811 = 943,436,811/x
  3. Step 3: Cross multiply
    614,103,770x = 943,436,811 × 943,436,811
  4. Step 4: Simplify right side
    614,103,770x = 890,073,016,349,849,728
  5. Step 5: Solve for x
    x = 890,073,016,349,849,728/614,103,770
  6. Step 6: Final answer
    x = 1,449,385,364.22

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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.