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Finding the Third Proportional to 614,792,119.50 and 950,916,624.75

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Solution

The third proportional to 614,792,119.50 and 950,916,624.75 is: 1,470,810,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792,119.50 : 950,916,624.75 = 950,916,624.75 : x
  2. Step 2: Convert to fraction form
    614,792,119.50/950,916,624.75 = 950,916,624.75/x
  3. Step 3: Cross multiply
    614,792,119.50x = 950,916,624.75 × 950,916,624.75
  4. Step 4: Simplify right side
    614,792,119.50x = 904,242,427,225,932,288
  5. Step 5: Solve for x
    x = 904,242,427,225,932,288/614,792,119.50
  6. Step 6: Final answer
    x = 1,470,810,048.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.