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Finding the Third Proportional to 51,209,169 and 74,869,595

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Solution

The third proportional to 51,209,169 and 74,869,595 is: 109,461,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,209,169 : 74,869,595 = 74,869,595 : x
  2. Step 2: Convert to fraction form
    51,209,169/74,869,595 = 74,869,595/x
  3. Step 3: Cross multiply
    51,209,169x = 74,869,595 × 74,869,595
  4. Step 4: Simplify right side
    51,209,169x = 5,605,456,255,464,025
  5. Step 5: Solve for x
    x = 5,605,456,255,464,025/51,209,169
  6. Step 6: Final answer
    x = 109,461,964.82

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