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Finding the Third Proportional to 2,905,413 and 6,333,964.13

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Solution

The third proportional to 2,905,413 and 6,333,964.13 is: 13,808,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905,413 : 6,333,964.13 = 6,333,964.13 : x
  2. Step 2: Convert to fraction form
    2,905,413/6,333,964.13 = 6,333,964.13/x
  3. Step 3: Cross multiply
    2,905,413x = 6,333,964.13 × 6,333,964.13
  4. Step 4: Simplify right side
    2,905,413x = 40,119,101,536,787.02
  5. Step 5: Solve for x
    x = 40,119,101,536,787.02/2,905,413
  6. Step 6: Final answer
    x = 13,808,398.85

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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.