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Finding the Third Proportional to 35,889,409.50 and 53,820,938.25

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Solution

The third proportional to 35,889,409.50 and 53,820,938.25 is: 80,711,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889,409.50 : 53,820,938.25 = 53,820,938.25 : x
  2. Step 2: Convert to fraction form
    35,889,409.50/53,820,938.25 = 53,820,938.25/x
  3. Step 3: Cross multiply
    35,889,409.50x = 53,820,938.25 × 53,820,938.25
  4. Step 4: Simplify right side
    35,889,409.50x = 2,896,693,394,110,313
  5. Step 5: Solve for x
    x = 2,896,693,394,110,313/35,889,409.50
  6. Step 6: Final answer
    x = 80,711,648.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.