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Finding the Third Proportional to 46,947,972 and 100,356,972

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Solution

The third proportional to 46,947,972 and 100,356,972 is: 214,525,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947,972 : 100,356,972 = 100,356,972 : x
  2. Step 2: Convert to fraction form
    46,947,972/100,356,972 = 100,356,972/x
  3. Step 3: Cross multiply
    46,947,972x = 100,356,972 × 100,356,972
  4. Step 4: Simplify right side
    46,947,972x = 10,071,521,829,008,784
  5. Step 5: Solve for x
    x = 10,071,521,829,008,784/46,947,972
  6. Step 6: Final answer
    x = 214,525,173.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.