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Finding the Third Proportional to 6,464,721.50 and 14,064,457

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Solution

The third proportional to 6,464,721.50 and 14,064,457 is: 30,598,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,721.50 : 14,064,457 = 14,064,457 : x
  2. Step 2: Convert to fraction form
    6,464,721.50/14,064,457 = 14,064,457/x
  3. Step 3: Cross multiply
    6,464,721.50x = 14,064,457 × 14,064,457
  4. Step 4: Simplify right side
    6,464,721.50x = 197,808,950,704,849
  5. Step 5: Solve for x
    x = 197,808,950,704,849/6,464,721.50
  6. Step 6: Final answer
    x = 30,598,216.91

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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.