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Finding the Third Proportional to 9,577,792 and 21,281,352

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Solution

The third proportional to 9,577,792 and 21,281,352 is: 47,286,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,792 : 21,281,352 = 21,281,352 : x
  2. Step 2: Convert to fraction form
    9,577,792/21,281,352 = 21,281,352/x
  3. Step 3: Cross multiply
    9,577,792x = 21,281,352 × 21,281,352
  4. Step 4: Simplify right side
    9,577,792x = 452,895,942,947,904
  5. Step 5: Solve for x
    x = 452,895,942,947,904/9,577,792
  6. Step 6: Final answer
    x = 47,286,049.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.