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Finding the Third Proportional to 31,197,924 and 48,685,551.75

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Solution

The third proportional to 31,197,924 and 48,685,551.75 is: 75,975,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,924 : 48,685,551.75 = 48,685,551.75 : x
  2. Step 2: Convert to fraction form
    31,197,924/48,685,551.75 = 48,685,551.75/x
  3. Step 3: Cross multiply
    31,197,924x = 48,685,551.75 × 48,685,551.75
  4. Step 4: Simplify right side
    31,197,924x = 2,370,282,949,201,928
  5. Step 5: Solve for x
    x = 2,370,282,949,201,928/31,197,924
  6. Step 6: Final answer
    x = 75,975,662.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.