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Finding the Third Proportional to 31,324,451.63 and 67,276,048.50

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Solution

The third proportional to 31,324,451.63 and 67,276,048.50 is: 144,489,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324,451.63 : 67,276,048.50 = 67,276,048.50 : x
  2. Step 2: Convert to fraction form
    31,324,451.63/67,276,048.50 = 67,276,048.50/x
  3. Step 3: Cross multiply
    31,324,451.63x = 67,276,048.50 × 67,276,048.50
  4. Step 4: Simplify right side
    31,324,451.63x = 4,526,066,701,774,352
  5. Step 5: Solve for x
    x = 4,526,066,701,774,352/31,324,451.63
  6. Step 6: Final answer
    x = 144,489,894.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.