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Finding the Third Proportional to 31,983,019.75 and 45,704,477.02

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Solution

The third proportional to 31,983,019.75 and 45,704,477.02 is: 65,312,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,983,019.75 : 45,704,477.02 = 45,704,477.02 : x
  2. Step 2: Convert to fraction form
    31,983,019.75/45,704,477.02 = 45,704,477.02/x
  3. Step 3: Cross multiply
    31,983,019.75x = 45,704,477.02 × 45,704,477.02
  4. Step 4: Simplify right side
    31,983,019.75x = 2,088,899,219,807,176
  5. Step 5: Solve for x
    x = 2,088,899,219,807,176/31,983,019.75
  6. Step 6: Final answer
    x = 65,312,757.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.