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Finding the Third Proportional to 7,815,464 and 16,470,608

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Solution

The third proportional to 7,815,464 and 16,470,608 is: 34,710,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,464 : 16,470,608 = 16,470,608 : x
  2. Step 2: Convert to fraction form
    7,815,464/16,470,608 = 16,470,608/x
  3. Step 3: Cross multiply
    7,815,464x = 16,470,608 × 16,470,608
  4. Step 4: Simplify right side
    7,815,464x = 271,280,927,889,664
  5. Step 5: Solve for x
    x = 271,280,927,889,664/7,815,464
  6. Step 6: Final answer
    x = 34,710,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.