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Finding the Third Proportional to 47,164,019 and 74,997,617

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Solution

The third proportional to 47,164,019 and 74,997,617 is: 119,257,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164,019 : 74,997,617 = 74,997,617 : x
  2. Step 2: Convert to fraction form
    47,164,019/74,997,617 = 74,997,617/x
  3. Step 3: Cross multiply
    47,164,019x = 74,997,617 × 74,997,617
  4. Step 4: Simplify right side
    47,164,019x = 5,624,642,555,678,689
  5. Step 5: Solve for x
    x = 5,624,642,555,678,689/47,164,019
  6. Step 6: Final answer
    x = 119,257,066.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.