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Finding the Third Proportional to 21,943,624,061 and 48,079,520,302

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Solution

The third proportional to 21,943,624,061 and 48,079,520,302 is: 105,344,507,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943,624,061 : 48,079,520,302 = 48,079,520,302 : x
  2. Step 2: Convert to fraction form
    21,943,624,061/48,079,520,302 = 48,079,520,302/x
  3. Step 3: Cross multiply
    21,943,624,061x = 48,079,520,302 × 48,079,520,302
  4. Step 4: Simplify right side
    21,943,624,061x = 2,311,640,272,470,430,187,520
  5. Step 5: Solve for x
    x = 2,311,640,272,470,430,187,520/21,943,624,061
  6. Step 6: Final answer
    x = 105,344,507,636.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.