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Finding the Third Proportional to 9,295,582 and 14,210,915

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Solution

The third proportional to 9,295,582 and 14,210,915 is: 21,725,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295,582 : 14,210,915 = 14,210,915 : x
  2. Step 2: Convert to fraction form
    9,295,582/14,210,915 = 14,210,915/x
  3. Step 3: Cross multiply
    9,295,582x = 14,210,915 × 14,210,915
  4. Step 4: Simplify right side
    9,295,582x = 201,950,105,137,225
  5. Step 5: Solve for x
    x = 201,950,105,137,225/9,295,582
  6. Step 6: Final answer
    x = 21,725,385.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.