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Finding the Third Proportional to 516,850,065 and 1,134,127,488.94

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Solution

The third proportional to 516,850,065 and 1,134,127,488.94 is: 2,488,623,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,850,065 : 1,134,127,488.94 = 1,134,127,488.94 : x
  2. Step 2: Convert to fraction form
    516,850,065/1,134,127,488.94 = 1,134,127,488.94/x
  3. Step 3: Cross multiply
    516,850,065x = 1,134,127,488.94 × 1,134,127,488.94
  4. Step 4: Simplify right side
    516,850,065x = 1,286,245,161,163,679,232
  5. Step 5: Solve for x
    x = 1,286,245,161,163,679,232/516,850,065
  6. Step 6: Final answer
    x = 2,488,623,390.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.