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Finding the Third Proportional to 9,725,492 and 21,163,432

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Solution

The third proportional to 9,725,492 and 21,163,432 is: 46,053,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,492 : 21,163,432 = 21,163,432 : x
  2. Step 2: Convert to fraction form
    9,725,492/21,163,432 = 21,163,432/x
  3. Step 3: Cross multiply
    9,725,492x = 21,163,432 × 21,163,432
  4. Step 4: Simplify right side
    9,725,492x = 447,890,854,018,624
  5. Step 5: Solve for x
    x = 447,890,854,018,624/9,725,492
  6. Step 6: Final answer
    x = 46,053,284.92

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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.