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Finding the Third Proportional to 1,085,633,689.50 and 2,370,359,394

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Solution

The third proportional to 1,085,633,689.50 and 2,370,359,394 is: 5,175,413,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,633,689.50 : 2,370,359,394 = 2,370,359,394 : x
  2. Step 2: Convert to fraction form
    1,085,633,689.50/2,370,359,394 = 2,370,359,394/x
  3. Step 3: Cross multiply
    1,085,633,689.50x = 2,370,359,394 × 2,370,359,394
  4. Step 4: Simplify right side
    1,085,633,689.50x = 5,618,603,656,724,046,848
  5. Step 5: Solve for x
    x = 5,618,603,656,724,046,848/1,085,633,689.50
  6. Step 6: Final answer
    x = 5,175,413,872.16

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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.