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Finding the Third Proportional to 1,113,052,770 and 2,417,896,692

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Solution

The third proportional to 1,113,052,770 and 2,417,896,692 is: 5,252,423,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113,052,770 : 2,417,896,692 = 2,417,896,692 : x
  2. Step 2: Convert to fraction form
    1,113,052,770/2,417,896,692 = 2,417,896,692/x
  3. Step 3: Cross multiply
    1,113,052,770x = 2,417,896,692 × 2,417,896,692
  4. Step 4: Simplify right side
    1,113,052,770x = 5,846,224,413,184,542,720
  5. Step 5: Solve for x
    x = 5,846,224,413,184,542,720/1,113,052,770
  6. Step 6: Final answer
    x = 5,252,423,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.