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Finding the Third Proportional to 10,106,591 and 15,550,242

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Solution

The third proportional to 10,106,591 and 15,550,242 is: 23,925,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,591 : 15,550,242 = 15,550,242 : x
  2. Step 2: Convert to fraction form
    10,106,591/15,550,242 = 15,550,242/x
  3. Step 3: Cross multiply
    10,106,591x = 15,550,242 × 15,550,242
  4. Step 4: Simplify right side
    10,106,591x = 241,810,026,258,564
  5. Step 5: Solve for x
    x = 241,810,026,258,564/10,106,591
  6. Step 6: Final answer
    x = 23,925,973.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.