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Finding the Third Proportional to 7,602,065 and 16,392,400

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Solution

The third proportional to 7,602,065 and 16,392,400 is: 35,347,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,065 : 16,392,400 = 16,392,400 : x
  2. Step 2: Convert to fraction form
    7,602,065/16,392,400 = 16,392,400/x
  3. Step 3: Cross multiply
    7,602,065x = 16,392,400 × 16,392,400
  4. Step 4: Simplify right side
    7,602,065x = 268,710,777,760,000
  5. Step 5: Solve for x
    x = 268,710,777,760,000/7,602,065
  6. Step 6: Final answer
    x = 35,347,077.11

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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.