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Finding the Third Proportional to 4,686,767 and 9,746,701

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Solution

The third proportional to 4,686,767 and 9,746,701 is: 20,269,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,767 : 9,746,701 = 9,746,701 : x
  2. Step 2: Convert to fraction form
    4,686,767/9,746,701 = 9,746,701/x
  3. Step 3: Cross multiply
    4,686,767x = 9,746,701 × 9,746,701
  4. Step 4: Simplify right side
    4,686,767x = 94,998,180,383,401
  5. Step 5: Solve for x
    x = 94,998,180,383,401/4,686,767
  6. Step 6: Final answer
    x = 20,269,448.08

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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.