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Finding the Third Proportional to 2,905,416 and 6,333,970

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Solution

The third proportional to 2,905,416 and 6,333,970 is: 13,808,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905,416 : 6,333,970 = 6,333,970 : x
  2. Step 2: Convert to fraction form
    2,905,416/6,333,970 = 6,333,970/x
  3. Step 3: Cross multiply
    2,905,416x = 6,333,970 × 6,333,970
  4. Step 4: Simplify right side
    2,905,416x = 40,119,175,960,900
  5. Step 5: Solve for x
    x = 40,119,175,960,900/2,905,416
  6. Step 6: Final answer
    x = 13,808,410.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.