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Finding the Third Proportional to 31,330,324 and 47,896,196

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Solution

The third proportional to 31,330,324 and 47,896,196 is: 73,221,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330,324 : 47,896,196 = 47,896,196 : x
  2. Step 2: Convert to fraction form
    31,330,324/47,896,196 = 47,896,196/x
  3. Step 3: Cross multiply
    31,330,324x = 47,896,196 × 47,896,196
  4. Step 4: Simplify right side
    31,330,324x = 2,294,045,591,270,416
  5. Step 5: Solve for x
    x = 2,294,045,591,270,416/31,330,324
  6. Step 6: Final answer
    x = 73,221,253.35

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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.