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Finding the Third Proportional to 31,164,378 and 46,572,143

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Solution

The third proportional to 31,164,378 and 46,572,143 is: 69,597,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,378 : 46,572,143 = 46,572,143 : x
  2. Step 2: Convert to fraction form
    31,164,378/46,572,143 = 46,572,143/x
  3. Step 3: Cross multiply
    31,164,378x = 46,572,143 × 46,572,143
  4. Step 4: Simplify right side
    31,164,378x = 2,168,964,503,612,449
  5. Step 5: Solve for x
    x = 2,168,964,503,612,449/31,164,378
  6. Step 6: Final answer
    x = 69,597,554.73

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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.