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Finding the Third Proportional to 18,477,051,528 and 37,933,627,680

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Solution

The third proportional to 18,477,051,528 and 37,933,627,680 is: 77,878,232,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477,051,528 : 37,933,627,680 = 37,933,627,680 : x
  2. Step 2: Convert to fraction form
    18,477,051,528/37,933,627,680 = 37,933,627,680/x
  3. Step 3: Cross multiply
    18,477,051,528x = 37,933,627,680 × 37,933,627,680
  4. Step 4: Simplify right side
    18,477,051,528x = 1,438,960,108,964,862,230,528
  5. Step 5: Solve for x
    x = 1,438,960,108,964,862,230,528/18,477,051,528
  6. Step 6: Final answer
    x = 77,878,232,183.54

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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.