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Finding the Third Proportional to 9,829,284 and 15,385,605

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Solution

The third proportional to 9,829,284 and 15,385,605 is: 24,082,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,284 : 15,385,605 = 15,385,605 : x
  2. Step 2: Convert to fraction form
    9,829,284/15,385,605 = 15,385,605/x
  3. Step 3: Cross multiply
    9,829,284x = 15,385,605 × 15,385,605
  4. Step 4: Simplify right side
    9,829,284x = 236,716,841,216,025
  5. Step 5: Solve for x
    x = 236,716,841,216,025/9,829,284
  6. Step 6: Final answer
    x = 24,082,816.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.