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Finding the Third Proportional to 7,815,458 and 16,470,596

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Solution

The third proportional to 7,815,458 and 16,470,596 is: 34,710,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,458 : 16,470,596 = 16,470,596 : x
  2. Step 2: Convert to fraction form
    7,815,458/16,470,596 = 16,470,596/x
  3. Step 3: Cross multiply
    7,815,458x = 16,470,596 × 16,470,596
  4. Step 4: Simplify right side
    7,815,458x = 271,280,532,595,216
  5. Step 5: Solve for x
    x = 271,280,532,595,216/7,815,458
  6. Step 6: Final answer
    x = 34,710,765.84

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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.