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Finding the Third Proportional to 52,704,048.50 and 78,746,064.75

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Solution

The third proportional to 52,704,048.50 and 78,746,064.75 is: 117,655,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704,048.50 : 78,746,064.75 = 78,746,064.75 : x
  2. Step 2: Convert to fraction form
    52,704,048.50/78,746,064.75 = 78,746,064.75/x
  3. Step 3: Cross multiply
    52,704,048.50x = 78,746,064.75 × 78,746,064.75
  4. Step 4: Simplify right side
    52,704,048.50x = 6,200,942,713,611,193
  5. Step 5: Solve for x
    x = 6,200,942,713,611,193/52,704,048.50
  6. Step 6: Final answer
    x = 117,655,908.61

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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.