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Finding the Third Proportional to 31,490,904 and 47,072,409

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Solution

The third proportional to 31,490,904 and 47,072,409 is: 70,363,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,904 : 47,072,409 = 47,072,409 : x
  2. Step 2: Convert to fraction form
    31,490,904/47,072,409 = 47,072,409/x
  3. Step 3: Cross multiply
    31,490,904x = 47,072,409 × 47,072,409
  4. Step 4: Simplify right side
    31,490,904x = 2,215,811,689,063,281
  5. Step 5: Solve for x
    x = 2,215,811,689,063,281/31,490,904
  6. Step 6: Final answer
    x = 70,363,546.54

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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.