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Finding the Third Proportional to 612,960,896 and 951,738,758

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Solution

The third proportional to 612,960,896 and 951,738,758 is: 1,477,756,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,960,896 : 951,738,758 = 951,738,758 : x
  2. Step 2: Convert to fraction form
    612,960,896/951,738,758 = 951,738,758/x
  3. Step 3: Cross multiply
    612,960,896x = 951,738,758 × 951,738,758
  4. Step 4: Simplify right side
    612,960,896x = 905,806,663,479,382,528
  5. Step 5: Solve for x
    x = 905,806,663,479,382,528/612,960,896
  6. Step 6: Final answer
    x = 1,477,756,035.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.