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Finding the Third Proportional to 10,273,769 and 22,136,940

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Solution

The third proportional to 10,273,769 and 22,136,940 is: 47,698,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273,769 : 22,136,940 = 22,136,940 : x
  2. Step 2: Convert to fraction form
    10,273,769/22,136,940 = 22,136,940/x
  3. Step 3: Cross multiply
    10,273,769x = 22,136,940 × 22,136,940
  4. Step 4: Simplify right side
    10,273,769x = 490,044,112,563,600
  5. Step 5: Solve for x
    x = 490,044,112,563,600/10,273,769
  6. Step 6: Final answer
    x = 47,698,572.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.