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Finding the Third Proportional to 9,725,660 and 22,513,166

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Solution

The third proportional to 9,725,660 and 22,513,166 is: 52,113,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,660 : 22,513,166 = 22,513,166 : x
  2. Step 2: Convert to fraction form
    9,725,660/22,513,166 = 22,513,166/x
  3. Step 3: Cross multiply
    9,725,660x = 22,513,166 × 22,513,166
  4. Step 4: Simplify right side
    9,725,660x = 506,842,643,343,556
  5. Step 5: Solve for x
    x = 506,842,643,343,556/9,725,660
  6. Step 6: Final answer
    x = 52,113,958.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.