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Finding the Third Proportional to 8,639,030.16 and 18,507,623.12

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Solution

The third proportional to 8,639,030.16 and 18,507,623.12 is: 39,649,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639,030.16 : 18,507,623.12 = 18,507,623.12 : x
  2. Step 2: Convert to fraction form
    8,639,030.16/18,507,623.12 = 18,507,623.12/x
  3. Step 3: Cross multiply
    8,639,030.16x = 18,507,623.12 × 18,507,623.12
  4. Step 4: Simplify right side
    8,639,030.16x = 342,532,113,538,225.88
  5. Step 5: Solve for x
    x = 342,532,113,538,225.88/8,639,030.16
  6. Step 6: Final answer
    x = 39,649,371.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.