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Finding the Third Proportional to 7,597,863 and 10,864,215

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Solution

The third proportional to 7,597,863 and 10,864,215 is: 15,534,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,863 : 10,864,215 = 10,864,215 : x
  2. Step 2: Convert to fraction form
    7,597,863/10,864,215 = 10,864,215/x
  3. Step 3: Cross multiply
    7,597,863x = 10,864,215 × 10,864,215
  4. Step 4: Simplify right side
    7,597,863x = 118,031,167,566,225
  5. Step 5: Solve for x
    x = 118,031,167,566,225/7,597,863
  6. Step 6: Final answer
    x = 15,534,784.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.