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Finding the Third Proportional to 560,791,148 and 1,220,330,668.50

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Solution

The third proportional to 560,791,148 and 1,220,330,668.50 is: 2,655,546,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,791,148 : 1,220,330,668.50 = 1,220,330,668.50 : x
  2. Step 2: Convert to fraction form
    560,791,148/1,220,330,668.50 = 1,220,330,668.50/x
  3. Step 3: Cross multiply
    560,791,148x = 1,220,330,668.50 × 1,220,330,668.50
  4. Step 4: Simplify right side
    560,791,148x = 1,489,206,940,481,656,832
  5. Step 5: Solve for x
    x = 1,489,206,940,481,656,832/560,791,148
  6. Step 6: Final answer
    x = 2,655,546,446.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.