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Finding the Third Proportional to 51,209,170 and 74,869,596.50

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Solution

The third proportional to 51,209,170 and 74,869,596.50 is: 109,461,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,209,170 : 74,869,596.50 = 74,869,596.50 : x
  2. Step 2: Convert to fraction form
    51,209,170/74,869,596.50 = 74,869,596.50/x
  3. Step 3: Cross multiply
    51,209,170x = 74,869,596.50 × 74,869,596.50
  4. Step 4: Simplify right side
    51,209,170x = 5,605,456,480,072,812
  5. Step 5: Solve for x
    x = 5,605,456,480,072,812/51,209,170
  6. Step 6: Final answer
    x = 109,461,967.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.