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Finding the Third Proportional to 9,996,870,762 and 20,821,176,610

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Solution

The third proportional to 9,996,870,762 and 20,821,176,610 is: 43,365,709,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,870,762 : 20,821,176,610 = 20,821,176,610 : x
  2. Step 2: Convert to fraction form
    9,996,870,762/20,821,176,610 = 20,821,176,610/x
  3. Step 3: Cross multiply
    9,996,870,762x = 20,821,176,610 × 20,821,176,610
  4. Step 4: Simplify right side
    9,996,870,762x = 433,521,395,424,811,089,920
  5. Step 5: Solve for x
    x = 433,521,395,424,811,089,920/9,996,870,762
  6. Step 6: Final answer
    x = 43,365,709,705.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.