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Finding the Third Proportional to 21,678,457 and 31,159,549

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Solution

The third proportional to 21,678,457 and 31,159,549 is: 44,787,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678,457 : 31,159,549 = 31,159,549 : x
  2. Step 2: Convert to fraction form
    21,678,457/31,159,549 = 31,159,549/x
  3. Step 3: Cross multiply
    21,678,457x = 31,159,549 × 31,159,549
  4. Step 4: Simplify right side
    21,678,457x = 970,917,493,883,401
  5. Step 5: Solve for x
    x = 970,917,493,883,401/21,678,457
  6. Step 6: Final answer
    x = 44,787,204.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.