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Finding the Third Proportional to 5,643,980 and 12,411,646

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Solution

The third proportional to 5,643,980 and 12,411,646 is: 27,294,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643,980 : 12,411,646 = 12,411,646 : x
  2. Step 2: Convert to fraction form
    5,643,980/12,411,646 = 12,411,646/x
  3. Step 3: Cross multiply
    5,643,980x = 12,411,646 × 12,411,646
  4. Step 4: Simplify right side
    5,643,980x = 154,048,956,429,316
  5. Step 5: Solve for x
    x = 154,048,956,429,316/5,643,980
  6. Step 6: Final answer
    x = 27,294,383.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.