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Finding the Third Proportional to 14,368,128 and 21,701,472

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Solution

The third proportional to 14,368,128 and 21,701,472 is: 32,777,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368,128 : 21,701,472 = 21,701,472 : x
  2. Step 2: Convert to fraction form
    14,368,128/21,701,472 = 21,701,472/x
  3. Step 3: Cross multiply
    14,368,128x = 21,701,472 × 21,701,472
  4. Step 4: Simplify right side
    14,368,128x = 470,953,886,966,784
  5. Step 5: Solve for x
    x = 470,953,886,966,784/14,368,128
  6. Step 6: Final answer
    x = 32,777,678.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.