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Finding the Third Proportional to 1,147,702,632 and 2,454,968,782

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Solution

The third proportional to 1,147,702,632 and 2,454,968,782 is: 5,251,248,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,702,632 : 2,454,968,782 = 2,454,968,782 : x
  2. Step 2: Convert to fraction form
    1,147,702,632/2,454,968,782 = 2,454,968,782/x
  3. Step 3: Cross multiply
    1,147,702,632x = 2,454,968,782 × 2,454,968,782
  4. Step 4: Simplify right side
    1,147,702,632x = 6,026,871,720,594,563,072
  5. Step 5: Solve for x
    x = 6,026,871,720,594,563,072/1,147,702,632
  6. Step 6: Final answer
    x = 5,251,248,496.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.