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Finding the Third Proportional to 14,005,877 and 30,465,730

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Solution

The third proportional to 14,005,877 and 30,465,730 is: 66,269,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,877 : 30,465,730 = 30,465,730 : x
  2. Step 2: Convert to fraction form
    14,005,877/30,465,730 = 30,465,730/x
  3. Step 3: Cross multiply
    14,005,877x = 30,465,730 × 30,465,730
  4. Step 4: Simplify right side
    14,005,877x = 928,160,704,432,900
  5. Step 5: Solve for x
    x = 928,160,704,432,900/14,005,877
  6. Step 6: Final answer
    x = 66,269,374.24

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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.