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Finding the Third Proportional to 7,164,036 and 14,748,552

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Solution

The third proportional to 7,164,036 and 14,748,552 is: 30,362,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,036 : 14,748,552 = 14,748,552 : x
  2. Step 2: Convert to fraction form
    7,164,036/14,748,552 = 14,748,552/x
  3. Step 3: Cross multiply
    7,164,036x = 14,748,552 × 14,748,552
  4. Step 4: Simplify right side
    7,164,036x = 217,519,786,096,704
  5. Step 5: Solve for x
    x = 217,519,786,096,704/7,164,036
  6. Step 6: Final answer
    x = 30,362,743.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.