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Finding the Third Proportional to 2,564,103,074 and 5,556,164,014

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Solution

The third proportional to 2,564,103,074 and 5,556,164,014 is: 12,039,671,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,103,074 : 5,556,164,014 = 5,556,164,014 : x
  2. Step 2: Convert to fraction form
    2,564,103,074/5,556,164,014 = 5,556,164,014/x
  3. Step 3: Cross multiply
    2,564,103,074x = 5,556,164,014 × 5,556,164,014
  4. Step 4: Simplify right side
    2,564,103,074x = 30,870,958,550,468,591,616
  5. Step 5: Solve for x
    x = 30,870,958,550,468,591,616/2,564,103,074
  6. Step 6: Final answer
    x = 12,039,671,440.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.