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Finding the Third Proportional to 9,824,263 and 21,141,518

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Solution

The third proportional to 9,824,263 and 21,141,518 is: 45,495,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,263 : 21,141,518 = 21,141,518 : x
  2. Step 2: Convert to fraction form
    9,824,263/21,141,518 = 21,141,518/x
  3. Step 3: Cross multiply
    9,824,263x = 21,141,518 × 21,141,518
  4. Step 4: Simplify right side
    9,824,263x = 446,963,783,344,324
  5. Step 5: Solve for x
    x = 446,963,783,344,324/9,824,263
  6. Step 6: Final answer
    x = 45,495,909.80

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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.