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Finding the Third Proportional to 6,423,394.50 and 9,457,668

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Solution

The third proportional to 6,423,394.50 and 9,457,668 is: 13,925,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,394.50 : 9,457,668 = 9,457,668 : x
  2. Step 2: Convert to fraction form
    6,423,394.50/9,457,668 = 9,457,668/x
  3. Step 3: Cross multiply
    6,423,394.50x = 9,457,668 × 9,457,668
  4. Step 4: Simplify right side
    6,423,394.50x = 89,447,483,998,224
  5. Step 5: Solve for x
    x = 89,447,483,998,224/6,423,394.50
  6. Step 6: Final answer
    x = 13,925,267.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.