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Finding the Third Proportional to 9,992,663 and 21,792,465

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Solution

The third proportional to 9,992,663 and 21,792,465 is: 47,526,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,663 : 21,792,465 = 21,792,465 : x
  2. Step 2: Convert to fraction form
    9,992,663/21,792,465 = 21,792,465/x
  3. Step 3: Cross multiply
    9,992,663x = 21,792,465 × 21,792,465
  4. Step 4: Simplify right side
    9,992,663x = 474,911,530,776,225
  5. Step 5: Solve for x
    x = 474,911,530,776,225/9,992,663
  6. Step 6: Final answer
    x = 47,526,022.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.