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Finding the Third Proportional to 7,226,208 and 10,386,580

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Solution

The third proportional to 7,226,208 and 10,386,580 is: 14,929,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226,208 : 10,386,580 = 10,386,580 : x
  2. Step 2: Convert to fraction form
    7,226,208/10,386,580 = 10,386,580/x
  3. Step 3: Cross multiply
    7,226,208x = 10,386,580 × 10,386,580
  4. Step 4: Simplify right side
    7,226,208x = 107,881,044,096,400
  5. Step 5: Solve for x
    x = 107,881,044,096,400/7,226,208
  6. Step 6: Final answer
    x = 14,929,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.