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Finding the Third Proportional to 18,477,051,114 and 37,933,624,536

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Solution

The third proportional to 18,477,051,114 and 37,933,624,536 is: 77,878,221,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477,051,114 : 37,933,624,536 = 37,933,624,536 : x
  2. Step 2: Convert to fraction form
    18,477,051,114/37,933,624,536 = 37,933,624,536/x
  3. Step 3: Cross multiply
    18,477,051,114x = 37,933,624,536 × 37,933,624,536
  4. Step 4: Simplify right side
    18,477,051,114x = 1,438,959,870,438,221,283,328
  5. Step 5: Solve for x
    x = 1,438,959,870,438,221,283,328/18,477,051,114
  6. Step 6: Final answer
    x = 77,878,221,019.15

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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.