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Finding the Third Proportional to 52,896,543.75 and 81,703,069.88

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Solution

The third proportional to 52,896,543.75 and 81,703,069.88 is: 126,197,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896,543.75 : 81,703,069.88 = 81,703,069.88 : x
  2. Step 2: Convert to fraction form
    52,896,543.75/81,703,069.88 = 81,703,069.88/x
  3. Step 3: Cross multiply
    52,896,543.75x = 81,703,069.88 × 81,703,069.88
  4. Step 4: Simplify right side
    52,896,543.75x = 6,675,391,626,999,133
  5. Step 5: Solve for x
    x = 6,675,391,626,999,133/52,896,543.75
  6. Step 6: Final answer
    x = 126,197,122.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.