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Finding the Third Proportional to 1,187,551,082 and 2,456,563,540

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Solution

The third proportional to 1,187,551,082 and 2,456,563,540 is: 5,081,637,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,551,082 : 2,456,563,540 = 2,456,563,540 : x
  2. Step 2: Convert to fraction form
    1,187,551,082/2,456,563,540 = 2,456,563,540/x
  3. Step 3: Cross multiply
    1,187,551,082x = 2,456,563,540 × 2,456,563,540
  4. Step 4: Simplify right side
    1,187,551,082x = 6,034,704,426,057,331,712
  5. Step 5: Solve for x
    x = 6,034,704,426,057,331,712/1,187,551,082
  6. Step 6: Final answer
    x = 5,081,637,764.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.