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Finding the Third Proportional to 669,162,775.50 and 1,449,495,135

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Solution

The third proportional to 669,162,775.50 and 1,449,495,135 is: 3,139,798,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,162,775.50 : 1,449,495,135 = 1,449,495,135 : x
  2. Step 2: Convert to fraction form
    669,162,775.50/1,449,495,135 = 1,449,495,135/x
  3. Step 3: Cross multiply
    669,162,775.50x = 1,449,495,135 × 1,449,495,135
  4. Step 4: Simplify right side
    669,162,775.50x = 2,101,036,146,388,668,160
  5. Step 5: Solve for x
    x = 2,101,036,146,388,668,160/669,162,775.50
  6. Step 6: Final answer
    x = 3,139,798,302.17

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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.