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Finding the Third Proportional to 10,483,638.75 and 22,424,593.50

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Solution

The third proportional to 10,483,638.75 and 22,424,593.50 is: 47,966,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,638.75 : 22,424,593.50 = 22,424,593.50 : x
  2. Step 2: Convert to fraction form
    10,483,638.75/22,424,593.50 = 22,424,593.50/x
  3. Step 3: Cross multiply
    10,483,638.75x = 22,424,593.50 × 22,424,593.50
  4. Step 4: Simplify right side
    10,483,638.75x = 502,862,393,640,242.25
  5. Step 5: Solve for x
    x = 502,862,393,640,242.25/10,483,638.75
  6. Step 6: Final answer
    x = 47,966,398.46

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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.