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Finding the Third Proportional to 47,328,097.50 and 70,803,505.50

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Solution

The third proportional to 47,328,097.50 and 70,803,505.50 is: 105,923,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328,097.50 : 70,803,505.50 = 70,803,505.50 : x
  2. Step 2: Convert to fraction form
    47,328,097.50/70,803,505.50 = 70,803,505.50/x
  3. Step 3: Cross multiply
    47,328,097.50x = 70,803,505.50 × 70,803,505.50
  4. Step 4: Simplify right side
    47,328,097.50x = 5,013,136,391,088,530
  5. Step 5: Solve for x
    x = 5,013,136,391,088,530/47,328,097.50
  6. Step 6: Final answer
    x = 105,923,049.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.