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Finding the Third Proportional to 7,487,169 and 16,109,211

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Solution

The third proportional to 7,487,169 and 16,109,211 is: 34,660,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,169 : 16,109,211 = 16,109,211 : x
  2. Step 2: Convert to fraction form
    7,487,169/16,109,211 = 16,109,211/x
  3. Step 3: Cross multiply
    7,487,169x = 16,109,211 × 16,109,211
  4. Step 4: Simplify right side
    7,487,169x = 259,506,679,042,521
  5. Step 5: Solve for x
    x = 259,506,679,042,521/7,487,169
  6. Step 6: Final answer
    x = 34,660,187.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.