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Finding the Third Proportional to 1,123,112,617 and 2,402,017,245.50

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Solution

The third proportional to 1,123,112,617 and 2,402,017,245.50 is: 5,137,229,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,112,617 : 2,402,017,245.50 = 2,402,017,245.50 : x
  2. Step 2: Convert to fraction form
    1,123,112,617/2,402,017,245.50 = 2,402,017,245.50/x
  3. Step 3: Cross multiply
    1,123,112,617x = 2,402,017,245.50 × 2,402,017,245.50
  4. Step 4: Simplify right side
    1,123,112,617x = 5,769,686,847,679,407,104
  5. Step 5: Solve for x
    x = 5,769,686,847,679,407,104/1,123,112,617
  6. Step 6: Final answer
    x = 5,137,229,125.87

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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.