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Finding the Third Proportional to 53,371,809 and 80,626,366.13

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Solution

The third proportional to 53,371,809 and 80,626,366.13 is: 121,798,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371,809 : 80,626,366.13 = 80,626,366.13 : x
  2. Step 2: Convert to fraction form
    53,371,809/80,626,366.13 = 80,626,366.13/x
  3. Step 3: Cross multiply
    53,371,809x = 80,626,366.13 × 80,626,366.13
  4. Step 4: Simplify right side
    53,371,809x = 6,500,610,914,522,548
  5. Step 5: Solve for x
    x = 6,500,610,914,522,548/53,371,809
  6. Step 6: Final answer
    x = 121,798,586.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.