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Finding the Third Proportional to 31,164,434 and 46,572,228

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Solution

The third proportional to 31,164,434 and 46,572,228 is: 69,597,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,434 : 46,572,228 = 46,572,228 : x
  2. Step 2: Convert to fraction form
    31,164,434/46,572,228 = 46,572,228/x
  3. Step 3: Cross multiply
    31,164,434x = 46,572,228 × 46,572,228
  4. Step 4: Simplify right side
    31,164,434x = 2,168,972,420,883,984
  5. Step 5: Solve for x
    x = 2,168,972,420,883,984/31,164,434
  6. Step 6: Final answer
    x = 69,597,683.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.