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Finding the Third Proportional to 10,232,096 and 14,782,428

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Solution

The third proportional to 10,232,096 and 14,782,428 is: 21,356,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,096 : 14,782,428 = 14,782,428 : x
  2. Step 2: Convert to fraction form
    10,232,096/14,782,428 = 14,782,428/x
  3. Step 3: Cross multiply
    10,232,096x = 14,782,428 × 14,782,428
  4. Step 4: Simplify right side
    10,232,096x = 218,520,177,575,184
  5. Step 5: Solve for x
    x = 218,520,177,575,184/10,232,096
  6. Step 6: Final answer
    x = 21,356,345.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.