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Finding the Third Proportional to 536,092,214 and 1,167,112,964

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Solution

The third proportional to 536,092,214 and 1,167,112,964 is: 2,540,892,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,092,214 : 1,167,112,964 = 1,167,112,964 : x
  2. Step 2: Convert to fraction form
    536,092,214/1,167,112,964 = 1,167,112,964/x
  3. Step 3: Cross multiply
    536,092,214x = 1,167,112,964 × 1,167,112,964
  4. Step 4: Simplify right side
    536,092,214x = 1,362,152,670,736,865,280
  5. Step 5: Solve for x
    x = 1,362,152,670,736,865,280/536,092,214
  6. Step 6: Final answer
    x = 2,540,892,471.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.