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Finding the Third Proportional to 7,609,684 and 15,849,224

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Solution

The third proportional to 7,609,684 and 15,849,224 is: 33,010,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609,684 : 15,849,224 = 15,849,224 : x
  2. Step 2: Convert to fraction form
    7,609,684/15,849,224 = 15,849,224/x
  3. Step 3: Cross multiply
    7,609,684x = 15,849,224 × 15,849,224
  4. Step 4: Simplify right side
    7,609,684x = 251,197,901,402,176
  5. Step 5: Solve for x
    x = 251,197,901,402,176/7,609,684
  6. Step 6: Final answer
    x = 33,010,293.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.