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Finding the Third Proportional to 31,295,871 and 47,873,686.50

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Solution

The third proportional to 31,295,871 and 47,873,686.50 is: 73,232,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295,871 : 47,873,686.50 = 47,873,686.50 : x
  2. Step 2: Convert to fraction form
    31,295,871/47,873,686.50 = 47,873,686.50/x
  3. Step 3: Cross multiply
    31,295,871x = 47,873,686.50 × 47,873,686.50
  4. Step 4: Simplify right side
    31,295,871x = 2,291,889,859,100,282
  5. Step 5: Solve for x
    x = 2,291,889,859,100,282/31,295,871
  6. Step 6: Final answer
    x = 73,232,978.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.