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Finding the Third Proportional to 7,295,184 and 10,946,664

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Solution

The third proportional to 7,295,184 and 10,946,664 is: 16,425,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295,184 : 10,946,664 = 10,946,664 : x
  2. Step 2: Convert to fraction form
    7,295,184/10,946,664 = 10,946,664/x
  3. Step 3: Cross multiply
    7,295,184x = 10,946,664 × 10,946,664
  4. Step 4: Simplify right side
    7,295,184x = 119,829,452,728,896
  5. Step 5: Solve for x
    x = 119,829,452,728,896/7,295,184
  6. Step 6: Final answer
    x = 16,425,830.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.