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Finding the Third Proportional to 3,817,494 and 8,306,712

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Solution

The third proportional to 3,817,494 and 8,306,712 is: 18,075,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817,494 : 8,306,712 = 8,306,712 : x
  2. Step 2: Convert to fraction form
    3,817,494/8,306,712 = 8,306,712/x
  3. Step 3: Cross multiply
    3,817,494x = 8,306,712 × 8,306,712
  4. Step 4: Simplify right side
    3,817,494x = 69,001,464,250,944
  5. Step 5: Solve for x
    x = 69,001,464,250,944/3,817,494
  6. Step 6: Final answer
    x = 18,075,068.16

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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.