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Finding the Third Proportional to 9,843,943.50 and 14,180,585.16

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Solution

The third proportional to 9,843,943.50 and 14,180,585.16 is: 20,427,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,943.50 : 14,180,585.16 = 14,180,585.16 : x
  2. Step 2: Convert to fraction form
    9,843,943.50/14,180,585.16 = 14,180,585.16/x
  3. Step 3: Cross multiply
    9,843,943.50x = 14,180,585.16 × 14,180,585.16
  4. Step 4: Simplify right side
    9,843,943.50x = 201,088,995,373,657.84
  5. Step 5: Solve for x
    x = 201,088,995,373,657.84/9,843,943.50
  6. Step 6: Final answer
    x = 20,427,686.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.