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Finding the Third Proportional to 31,387,724 and 47,993,970

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Solution

The third proportional to 31,387,724 and 47,993,970 is: 73,386,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387,724 : 47,993,970 = 47,993,970 : x
  2. Step 2: Convert to fraction form
    31,387,724/47,993,970 = 47,993,970/x
  3. Step 3: Cross multiply
    31,387,724x = 47,993,970 × 47,993,970
  4. Step 4: Simplify right side
    31,387,724x = 2,303,421,156,360,900
  5. Step 5: Solve for x
    x = 2,303,421,156,360,900/31,387,724
  6. Step 6: Final answer
    x = 73,386,052.34

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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.