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Finding the Third Proportional to 7,689,723.29 and 18,152,316.11

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Solution

The third proportional to 7,689,723.29 and 18,152,316.11 is: 42,850,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,723.29 : 18,152,316.11 = 18,152,316.11 : x
  2. Step 2: Convert to fraction form
    7,689,723.29/18,152,316.11 = 18,152,316.11/x
  3. Step 3: Cross multiply
    7,689,723.29x = 18,152,316.11 × 18,152,316.11
  4. Step 4: Simplify right side
    7,689,723.29x = 329,506,579,992,833
  5. Step 5: Solve for x
    x = 329,506,579,992,833/7,689,723.29
  6. Step 6: Final answer
    x = 42,850,251.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.