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Finding the Third Proportional to 7,946,964 and 12,302,442

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Solution

The third proportional to 7,946,964 and 12,302,442 is: 19,045,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,964 : 12,302,442 = 12,302,442 : x
  2. Step 2: Convert to fraction form
    7,946,964/12,302,442 = 12,302,442/x
  3. Step 3: Cross multiply
    7,946,964x = 12,302,442 × 12,302,442
  4. Step 4: Simplify right side
    7,946,964x = 151,350,079,163,364
  5. Step 5: Solve for x
    x = 151,350,079,163,364/7,946,964
  6. Step 6: Final answer
    x = 19,045,018.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.