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Finding the Third Proportional to 4,686,764 and 9,746,695

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Solution

The third proportional to 4,686,764 and 9,746,695 is: 20,269,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,764 : 9,746,695 = 9,746,695 : x
  2. Step 2: Convert to fraction form
    4,686,764/9,746,695 = 9,746,695/x
  3. Step 3: Cross multiply
    4,686,764x = 9,746,695 × 9,746,695
  4. Step 4: Simplify right side
    4,686,764x = 94,998,063,423,025
  5. Step 5: Solve for x
    x = 94,998,063,423,025/4,686,764
  6. Step 6: Final answer
    x = 20,269,436.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.