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Finding the Third Proportional to 9,435,202 and 14,137,987

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Solution

The third proportional to 9,435,202 and 14,137,987 is: 21,184,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,202 : 14,137,987 = 14,137,987 : x
  2. Step 2: Convert to fraction form
    9,435,202/14,137,987 = 14,137,987/x
  3. Step 3: Cross multiply
    9,435,202x = 14,137,987 × 14,137,987
  4. Step 4: Simplify right side
    9,435,202x = 199,882,676,412,169
  5. Step 5: Solve for x
    x = 199,882,676,412,169/9,435,202
  6. Step 6: Final answer
    x = 21,184,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.