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Finding the Third Proportional to 6,186,637.50 and 9,359,581.50

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Solution

The third proportional to 6,186,637.50 and 9,359,581.50 is: 14,159,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186,637.50 : 9,359,581.50 = 9,359,581.50 : x
  2. Step 2: Convert to fraction form
    6,186,637.50/9,359,581.50 = 9,359,581.50/x
  3. Step 3: Cross multiply
    6,186,637.50x = 9,359,581.50 × 9,359,581.50
  4. Step 4: Simplify right side
    6,186,637.50x = 87,601,765,855,142.25
  5. Step 5: Solve for x
    x = 87,601,765,855,142.25/6,186,637.50
  6. Step 6: Final answer
    x = 14,159,834.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.