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Finding the Third Proportional to 9,101,655 and 19,554,021

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Solution

The third proportional to 9,101,655 and 19,554,021 is: 42,009,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101,655 : 19,554,021 = 19,554,021 : x
  2. Step 2: Convert to fraction form
    9,101,655/19,554,021 = 19,554,021/x
  3. Step 3: Cross multiply
    9,101,655x = 19,554,021 × 19,554,021
  4. Step 4: Simplify right side
    9,101,655x = 382,359,737,268,441
  5. Step 5: Solve for x
    x = 382,359,737,268,441/9,101,655
  6. Step 6: Final answer
    x = 42,009,913.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.