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Finding the Third Proportional to 52,704,047.25 and 78,746,063.25

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Solution

The third proportional to 52,704,047.25 and 78,746,063.25 is: 117,655,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704,047.25 : 78,746,063.25 = 78,746,063.25 : x
  2. Step 2: Convert to fraction form
    52,704,047.25/78,746,063.25 = 78,746,063.25/x
  3. Step 3: Cross multiply
    52,704,047.25x = 78,746,063.25 × 78,746,063.25
  4. Step 4: Simplify right side
    52,704,047.25x = 6,200,942,477,373,001
  5. Step 5: Solve for x
    x = 6,200,942,477,373,001/52,704,047.25
  6. Step 6: Final answer
    x = 117,655,906.92

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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.