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Finding the Third Proportional to 9,754,688 and 21,440,038

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Solution

The third proportional to 9,754,688 and 21,440,038 is: 47,123,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754,688 : 21,440,038 = 21,440,038 : x
  2. Step 2: Convert to fraction form
    9,754,688/21,440,038 = 21,440,038/x
  3. Step 3: Cross multiply
    9,754,688x = 21,440,038 × 21,440,038
  4. Step 4: Simplify right side
    9,754,688x = 459,675,229,441,444
  5. Step 5: Solve for x
    x = 459,675,229,441,444/9,754,688
  6. Step 6: Final answer
    x = 47,123,519.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.