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Finding the Third Proportional to 5,614,767 and 11,495,583

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Solution

The third proportional to 5,614,767 and 11,495,583 is: 23,535,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614,767 : 11,495,583 = 11,495,583 : x
  2. Step 2: Convert to fraction form
    5,614,767/11,495,583 = 11,495,583/x
  3. Step 3: Cross multiply
    5,614,767x = 11,495,583 × 11,495,583
  4. Step 4: Simplify right side
    5,614,767x = 132,148,428,509,889
  5. Step 5: Solve for x
    x = 132,148,428,509,889/5,614,767
  6. Step 6: Final answer
    x = 23,535,870.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.