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Finding the Third Proportional to 31,490,907 and 47,072,416

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Solution

The third proportional to 31,490,907 and 47,072,416 is: 70,363,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,907 : 47,072,416 = 47,072,416 : x
  2. Step 2: Convert to fraction form
    31,490,907/47,072,416 = 47,072,416/x
  3. Step 3: Cross multiply
    31,490,907x = 47,072,416 × 47,072,416
  4. Step 4: Simplify right side
    31,490,907x = 2,215,812,348,077,056
  5. Step 5: Solve for x
    x = 2,215,812,348,077,056/31,490,907
  6. Step 6: Final answer
    x = 70,363,560.76

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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.