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Finding the Third Proportional to 14,050,011,174 and 30,548,809,164

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Solution

The third proportional to 14,050,011,174 and 30,548,809,164 is: 66,421,992,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050,011,174 : 30,548,809,164 = 30,548,809,164 : x
  2. Step 2: Convert to fraction form
    14,050,011,174/30,548,809,164 = 30,548,809,164/x
  3. Step 3: Cross multiply
    14,050,011,174x = 30,548,809,164 × 30,548,809,164
  4. Step 4: Simplify right side
    14,050,011,174x = 933,229,741,338,490,437,632
  5. Step 5: Solve for x
    x = 933,229,741,338,490,437,632/14,050,011,174
  6. Step 6: Final answer
    x = 66,421,992,821.29

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Why These Related Problems?

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