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Finding the Third Proportional to 8,465,964 and 18,617,457

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Solution

The third proportional to 8,465,964 and 18,617,457 is: 40,941,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465,964 : 18,617,457 = 18,617,457 : x
  2. Step 2: Convert to fraction form
    8,465,964/18,617,457 = 18,617,457/x
  3. Step 3: Cross multiply
    8,465,964x = 18,617,457 × 18,617,457
  4. Step 4: Simplify right side
    8,465,964x = 346,609,705,146,849
  5. Step 5: Solve for x
    x = 346,609,705,146,849/8,465,964
  6. Step 6: Final answer
    x = 40,941,551.98

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Why These Related Problems?

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