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Finding the Third Proportional to 9,575,582 and 20,478,267

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Solution

The third proportional to 9,575,582 and 20,478,267 is: 43,794,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,582 : 20,478,267 = 20,478,267 : x
  2. Step 2: Convert to fraction form
    9,575,582/20,478,267 = 20,478,267/x
  3. Step 3: Cross multiply
    9,575,582x = 20,478,267 × 20,478,267
  4. Step 4: Simplify right side
    9,575,582x = 419,359,419,323,289
  5. Step 5: Solve for x
    x = 419,359,419,323,289/9,575,582
  6. Step 6: Final answer
    x = 43,794,666.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.