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Finding the Third Proportional to 9,909,569 and 14,680,159

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Solution

The third proportional to 9,909,569 and 14,680,159 is: 21,747,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,569 : 14,680,159 = 14,680,159 : x
  2. Step 2: Convert to fraction form
    9,909,569/14,680,159 = 14,680,159/x
  3. Step 3: Cross multiply
    9,909,569x = 14,680,159 × 14,680,159
  4. Step 4: Simplify right side
    9,909,569x = 215,507,068,265,281
  5. Step 5: Solve for x
    x = 215,507,068,265,281/9,909,569
  6. Step 6: Final answer
    x = 21,747,370.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.