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Finding the Third Proportional to 537,668,857 and 830,381,225.50

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Solution

The third proportional to 537,668,857 and 830,381,225.50 is: 1,282,449,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,668,857 : 830,381,225.50 = 830,381,225.50 : x
  2. Step 2: Convert to fraction form
    537,668,857/830,381,225.50 = 830,381,225.50/x
  3. Step 3: Cross multiply
    537,668,857x = 830,381,225.50 × 830,381,225.50
  4. Step 4: Simplify right side
    537,668,857x = 689,532,979,662,881,792
  5. Step 5: Solve for x
    x = 689,532,979,662,881,792/537,668,857
  6. Step 6: Final answer
    x = 1,282,449,170.50

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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.