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Finding the Third Proportional to 6,808,461 and 14,751,624

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Solution

The third proportional to 6,808,461 and 14,751,624 is: 31,961,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808,461 : 14,751,624 = 14,751,624 : x
  2. Step 2: Convert to fraction form
    6,808,461/14,751,624 = 14,751,624/x
  3. Step 3: Cross multiply
    6,808,461x = 14,751,624 × 14,751,624
  4. Step 4: Simplify right side
    6,808,461x = 217,610,410,637,376
  5. Step 5: Solve for x
    x = 217,610,410,637,376/6,808,461
  6. Step 6: Final answer
    x = 31,961,762.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.