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Finding the Third Proportional to 6,591,021,057 and 14,462,061,894

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Solution

The third proportional to 6,591,021,057 and 14,462,061,894 is: 31,732,751,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591,021,057 : 14,462,061,894 = 14,462,061,894 : x
  2. Step 2: Convert to fraction form
    6,591,021,057/14,462,061,894 = 14,462,061,894/x
  3. Step 3: Cross multiply
    6,591,021,057x = 14,462,061,894 × 14,462,061,894
  4. Step 4: Simplify right side
    6,591,021,057x = 209,151,234,225,886,855,168
  5. Step 5: Solve for x
    x = 209,151,234,225,886,855,168/6,591,021,057
  6. Step 6: Final answer
    x = 31,732,751,635.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.