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Finding the Third Proportional to 537,668,853.75 and 830,381,220.75

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Solution

The third proportional to 537,668,853.75 and 830,381,220.75 is: 1,282,449,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,668,853.75 : 830,381,220.75 = 830,381,220.75 : x
  2. Step 2: Convert to fraction form
    537,668,853.75/830,381,220.75 = 830,381,220.75/x
  3. Step 3: Cross multiply
    537,668,853.75x = 830,381,220.75 × 830,381,220.75
  4. Step 4: Simplify right side
    537,668,853.75x = 689,532,971,774,260,224
  5. Step 5: Solve for x
    x = 689,532,971,774,260,224/537,668,853.75
  6. Step 6: Final answer
    x = 1,282,449,163.58

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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.