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Finding the Third Proportional to 31,431,464,929 and 47,135,652,409.50

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Solution

The third proportional to 31,431,464,929 and 47,135,652,409.50 is: 70,686,165,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,464,929 : 47,135,652,409.50 = 47,135,652,409.50 : x
  2. Step 2: Convert to fraction form
    31,431,464,929/47,135,652,409.50 = 47,135,652,409.50/x
  3. Step 3: Cross multiply
    31,431,464,929x = 47,135,652,409.50 × 47,135,652,409.50
  4. Step 4: Simplify right side
    31,431,464,929x = 2,221,769,728,069,203,132,416
  5. Step 5: Solve for x
    x = 2,221,769,728,069,203,132,416/31,431,464,929
  6. Step 6: Final answer
    x = 70,686,165,378.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.