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Finding the Third Proportional to 4,651,983 and 9,867,564

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Solution

The third proportional to 4,651,983 and 9,867,564 is: 20,930,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,983 : 9,867,564 = 9,867,564 : x
  2. Step 2: Convert to fraction form
    4,651,983/9,867,564 = 9,867,564/x
  3. Step 3: Cross multiply
    4,651,983x = 9,867,564 × 9,867,564
  4. Step 4: Simplify right side
    4,651,983x = 97,368,819,294,096
  5. Step 5: Solve for x
    x = 97,368,819,294,096/4,651,983
  6. Step 6: Final answer
    x = 20,930,605.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.