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Finding the Third Proportional to 10,376,120 and 14,780,972

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Solution

The third proportional to 10,376,120 and 14,780,972 is: 21,055,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376,120 : 14,780,972 = 14,780,972 : x
  2. Step 2: Convert to fraction form
    10,376,120/14,780,972 = 14,780,972/x
  3. Step 3: Cross multiply
    10,376,120x = 14,780,972 × 14,780,972
  4. Step 4: Simplify right side
    10,376,120x = 218,477,133,264,784
  5. Step 5: Solve for x
    x = 218,477,133,264,784/10,376,120
  6. Step 6: Final answer
    x = 21,055,763.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.