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Finding the Third Proportional to 2,103,187,628 and 4,542,182,582

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Solution

The third proportional to 2,103,187,628 and 4,542,182,582 is: 9,809,596,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,187,628 : 4,542,182,582 = 4,542,182,582 : x
  2. Step 2: Convert to fraction form
    2,103,187,628/4,542,182,582 = 4,542,182,582/x
  3. Step 3: Cross multiply
    2,103,187,628x = 4,542,182,582 × 4,542,182,582
  4. Step 4: Simplify right side
    2,103,187,628x = 20,631,422,608,224,186,368
  5. Step 5: Solve for x
    x = 20,631,422,608,224,186,368/2,103,187,628
  6. Step 6: Final answer
    x = 9,809,596,791.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.