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Finding the Third Proportional to 1,351,806,764,672 and 2,864,780,452,768

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Solution

The third proportional to 1,351,806,764,672 and 2,864,780,452,768 is: 6,071,109,611,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,806,764,672 : 2,864,780,452,768 = 2,864,780,452,768 : x
  2. Step 2: Convert to fraction form
    1,351,806,764,672/2,864,780,452,768 = 2,864,780,452,768/x
  3. Step 3: Cross multiply
    1,351,806,764,672x = 2,864,780,452,768 × 2,864,780,452,768
  4. Step 4: Simplify right side
    1,351,806,764,672x = 8,206,967,042,561,627,102,642,176
  5. Step 5: Solve for x
    x = 8,206,967,042,561,627,102,642,176/1,351,806,764,672
  6. Step 6: Final answer
    x = 6,071,109,611,996.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.