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Finding the Third Proportional to 31,078,424 and 48,645,224

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Solution

The third proportional to 31,078,424 and 48,645,224 is: 76,141,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078,424 : 48,645,224 = 48,645,224 : x
  2. Step 2: Convert to fraction form
    31,078,424/48,645,224 = 48,645,224/x
  3. Step 3: Cross multiply
    31,078,424x = 48,645,224 × 48,645,224
  4. Step 4: Simplify right side
    31,078,424x = 2,366,357,818,010,176
  5. Step 5: Solve for x
    x = 2,366,357,818,010,176/31,078,424
  6. Step 6: Final answer
    x = 76,141,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.