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Finding the Third Proportional to 32,377,461 and 49,816,720.50

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Solution

The third proportional to 32,377,461 and 49,816,720.50 is: 76,649,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377,461 : 49,816,720.50 = 49,816,720.50 : x
  2. Step 2: Convert to fraction form
    32,377,461/49,816,720.50 = 49,816,720.50/x
  3. Step 3: Cross multiply
    32,377,461x = 49,816,720.50 × 49,816,720.50
  4. Step 4: Simplify right side
    32,377,461x = 2,481,705,641,375,120
  5. Step 5: Solve for x
    x = 2,481,705,641,375,120/32,377,461
  6. Step 6: Final answer
    x = 76,649,173.98

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Why These Related Problems?

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