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Finding the Third Proportional to 14,352,610 and 21,602,728

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Solution

The third proportional to 14,352,610 and 21,602,728 is: 32,515,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352,610 : 21,602,728 = 21,602,728 : x
  2. Step 2: Convert to fraction form
    14,352,610/21,602,728 = 21,602,728/x
  3. Step 3: Cross multiply
    14,352,610x = 21,602,728 × 21,602,728
  4. Step 4: Simplify right side
    14,352,610x = 466,677,857,041,984
  5. Step 5: Solve for x
    x = 466,677,857,041,984/14,352,610
  6. Step 6: Final answer
    x = 32,515,191.11

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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.