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Finding the Third Proportional to 30,237,966 and 46,693,935

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Solution

The third proportional to 30,237,966 and 46,693,935 is: 72,105,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237,966 : 46,693,935 = 46,693,935 : x
  2. Step 2: Convert to fraction form
    30,237,966/46,693,935 = 46,693,935/x
  3. Step 3: Cross multiply
    30,237,966x = 46,693,935 × 46,693,935
  4. Step 4: Simplify right side
    30,237,966x = 2,180,323,565,784,225
  5. Step 5: Solve for x
    x = 2,180,323,565,784,225/30,237,966
  6. Step 6: Final answer
    x = 72,105,496.97

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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.