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Finding the Third Proportional to 45,312,981.75 and 69,689,695.50

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Solution

The third proportional to 45,312,981.75 and 69,689,695.50 is: 107,180,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312,981.75 : 69,689,695.50 = 69,689,695.50 : x
  2. Step 2: Convert to fraction form
    45,312,981.75/69,689,695.50 = 69,689,695.50/x
  3. Step 3: Cross multiply
    45,312,981.75x = 69,689,695.50 × 69,689,695.50
  4. Step 4: Simplify right side
    45,312,981.75x = 4,856,653,658,882,720
  5. Step 5: Solve for x
    x = 4,856,653,658,882,720/45,312,981.75
  6. Step 6: Final answer
    x = 107,180,182.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.