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Finding the Third Proportional to 9,693,752 and 20,390,320

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Solution

The third proportional to 9,693,752 and 20,390,320 is: 42,890,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,752 : 20,390,320 = 20,390,320 : x
  2. Step 2: Convert to fraction form
    9,693,752/20,390,320 = 20,390,320/x
  3. Step 3: Cross multiply
    9,693,752x = 20,390,320 × 20,390,320
  4. Step 4: Simplify right side
    9,693,752x = 415,765,149,702,400
  5. Step 5: Solve for x
    x = 415,765,149,702,400/9,693,752
  6. Step 6: Final answer
    x = 42,890,013.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.