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Finding the Third Proportional to 10,477,156 and 15,754,728

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Solution

The third proportional to 10,477,156 and 15,754,728 is: 23,690,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477,156 : 15,754,728 = 15,754,728 : x
  2. Step 2: Convert to fraction form
    10,477,156/15,754,728 = 15,754,728/x
  3. Step 3: Cross multiply
    10,477,156x = 15,754,728 × 15,754,728
  4. Step 4: Simplify right side
    10,477,156x = 248,211,454,353,984
  5. Step 5: Solve for x
    x = 248,211,454,353,984/10,477,156
  6. Step 6: Final answer
    x = 23,690,728.13

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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.