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Finding the Third Proportional to 7,299,584,154 and 14,986,137,708

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Solution

The third proportional to 7,299,584,154 and 14,986,137,708 is: 30,766,728,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299,584,154 : 14,986,137,708 = 14,986,137,708 : x
  2. Step 2: Convert to fraction form
    7,299,584,154/14,986,137,708 = 14,986,137,708/x
  3. Step 3: Cross multiply
    7,299,584,154x = 14,986,137,708 × 14,986,137,708
  4. Step 4: Simplify right side
    7,299,584,154x = 224,584,323,403,139,481,600
  5. Step 5: Solve for x
    x = 224,584,323,403,139,481,600/7,299,584,154
  6. Step 6: Final answer
    x = 30,766,728,441.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.