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Finding the Third Proportional to 14,136,260 and 30,775,306

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Solution

The third proportional to 14,136,260 and 30,775,306 is: 66,999,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136,260 : 30,775,306 = 30,775,306 : x
  2. Step 2: Convert to fraction form
    14,136,260/30,775,306 = 30,775,306/x
  3. Step 3: Cross multiply
    14,136,260x = 30,775,306 × 30,775,306
  4. Step 4: Simplify right side
    14,136,260x = 947,119,459,393,636
  5. Step 5: Solve for x
    x = 947,119,459,393,636/14,136,260
  6. Step 6: Final answer
    x = 66,999,295.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.