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Finding the Third Proportional to 6,756,623 and 14,576,123

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Solution

The third proportional to 6,756,623 and 14,576,123 is: 31,445,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756,623 : 14,576,123 = 14,576,123 : x
  2. Step 2: Convert to fraction form
    6,756,623/14,576,123 = 14,576,123/x
  3. Step 3: Cross multiply
    6,756,623x = 14,576,123 × 14,576,123
  4. Step 4: Simplify right side
    6,756,623x = 212,463,361,711,129
  5. Step 5: Solve for x
    x = 212,463,361,711,129/6,756,623
  6. Step 6: Final answer
    x = 31,445,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.