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Finding the Third Proportional to 6,574,117.50 and 14,409,189

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Solution

The third proportional to 6,574,117.50 and 14,409,189 is: 31,582,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574,117.50 : 14,409,189 = 14,409,189 : x
  2. Step 2: Convert to fraction form
    6,574,117.50/14,409,189 = 14,409,189/x
  3. Step 3: Cross multiply
    6,574,117.50x = 14,409,189 × 14,409,189
  4. Step 4: Simplify right side
    6,574,117.50x = 207,624,727,637,721
  5. Step 5: Solve for x
    x = 207,624,727,637,721/6,574,117.50
  6. Step 6: Final answer
    x = 31,582,144.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.