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Finding the Third Proportional to 8,399,323,377 and 17,996,695,535.81

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Solution

The third proportional to 8,399,323,377 and 17,996,695,535.81 is: 38,560,373,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,323,377 : 17,996,695,535.81 = 17,996,695,535.81 : x
  2. Step 2: Convert to fraction form
    8,399,323,377/17,996,695,535.81 = 17,996,695,535.81/x
  3. Step 3: Cross multiply
    8,399,323,377x = 17,996,695,535.81 × 17,996,695,535.81
  4. Step 4: Simplify right side
    8,399,323,377x = 323,881,050,208,751,583,232
  5. Step 5: Solve for x
    x = 323,881,050,208,751,583,232/8,399,323,377
  6. Step 6: Final answer
    x = 38,560,373,933.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.