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Finding the Third Proportional to 2,187,886,641 and 4,707,606,693

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Solution

The third proportional to 2,187,886,641 and 4,707,606,693 is: 10,129,208,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,886,641 : 4,707,606,693 = 4,707,606,693 : x
  2. Step 2: Convert to fraction form
    2,187,886,641/4,707,606,693 = 4,707,606,693/x
  3. Step 3: Cross multiply
    2,187,886,641x = 4,707,606,693 × 4,707,606,693
  4. Step 4: Simplify right side
    2,187,886,641x = 22,161,560,775,978,397,696
  5. Step 5: Solve for x
    x = 22,161,560,775,978,397,696/2,187,886,641
  6. Step 6: Final answer
    x = 10,129,208,872.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.