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Finding the Third Proportional to 9,287,254 and 14,351,169

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Solution

The third proportional to 9,287,254 and 14,351,169 is: 22,176,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,254 : 14,351,169 = 14,351,169 : x
  2. Step 2: Convert to fraction form
    9,287,254/14,351,169 = 14,351,169/x
  3. Step 3: Cross multiply
    9,287,254x = 14,351,169 × 14,351,169
  4. Step 4: Simplify right side
    9,287,254x = 205,956,051,666,561
  5. Step 5: Solve for x
    x = 205,956,051,666,561/9,287,254
  6. Step 6: Final answer
    x = 22,176,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.