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Finding the Third Proportional to 9,311,609 and 14,533,361

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Solution

The third proportional to 9,311,609 and 14,533,361 is: 22,683,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311,609 : 14,533,361 = 14,533,361 : x
  2. Step 2: Convert to fraction form
    9,311,609/14,533,361 = 14,533,361/x
  3. Step 3: Cross multiply
    9,311,609x = 14,533,361 × 14,533,361
  4. Step 4: Simplify right side
    9,311,609x = 211,218,581,956,321
  5. Step 5: Solve for x
    x = 211,218,581,956,321/9,311,609
  6. Step 6: Final answer
    x = 22,683,360.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.